Relative strength index - Revision history

en>Enivid: /* Calculation */ Fixed according to the cited source

2015-01-07T11:31:27Z

Calculation: Fixed according to the cited source

← Older revision		Revision as of 13:31, 7 January 2015
Line 1:		Line 1:
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en>Enivid: /* Calculation */ Making sense

2014-02-18T17:43:42Z

Calculation: Making sense

← Older revision		Revision as of 19:43, 18 February 2014
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	~~{{technical\|date=October 2013}}~~
	In [[particle physics]], a '''dilaton''' is a [[hypothetical particle]]. It also appears in [[Kaluza-Klein theory]]'s [[compactification (physics)\|compactification]]s of extra [[dimension]]s when the volume of the compactified dimensions vary.

	It is a particle of a scalar field Φ; a scalar field that always comes with gravity. In standard [[general relativity]], [[Newton's constant]], or equivalently, the [[Planck mass]] is always constant. If we "promote" this constant to a dynamical field, what we would get is the dilaton.

	~~So,~~ in ~~Kaluza-Klein theories, after dimensional reduction,~~ the ~~effective Planck mass varies as some power~~ of the ~~volume~~ of ~~compactified space~~. ~~This is why volume can turn out as a dilaton in~~ the ~~lower dimensional~~ [~~[effective theory]]~~.		Every Condition's Lottery Pick four video games provide two drawings for each day seven times [http://www.purevolume.com/marc62tyfxwi/posts/6583266/9+Closely-Guarded+Online+Spilleautomater+For+Mac-maskiner+Secrets+Explained+in+Explicit+Detail gratis norrman spilleautomater] a week. I decided to evaluate the Daily Choose four midday and evening drawings and results of these three neighboring states from the time period of February 1, 2009 through April 30, 2009. The Connecticut Choose 4, New York Win four, and PA Large four Lotteries have the same quantity of drawings.<br><br>If you get [http://www.purevolume.com/melodymabrydn/posts/6923401/Det+Er+P%C3%A5+Spilleautomater+Med+Progressive+Jackpotter+And+Love+Have+4+Things+In+Common norsk automater] as soon as again then distribute the winnings over the exact same figures once more. You will now have 5 units on every number. However, if you do win, distribute your winnings (35 models) over the same seven figures. Subsequent this wager, stop and stroll absent. Your optimum possible get is 945 units, and your greatest feasible loss is 21 units. You ought to now have 35 models on every number.<br><br>Right here, the "Six Shooter" character requirements to walk to the financial institution. If that is not all, stepping on to a cow's cranium means being fired upon by the Indians. If he succeeds you will get twenty five,000 multiplier. A extremely exciting casino board video games is in the [http://www.fizzlive.com/member/1215044/blog/view/3498362 norske spilleautomater kungen nett] type of Six Shooter Looter. If you [http://rochellebaldessin.newsvine.com/_news/2014/08/07/25214610-life-death-and-gratis-norsk-spilleautomater beste spilleautomater kungen nett] [https://www.rebelmouse.com/chrismahmood/norskautomater-secrets-reveale-666606876.html on the web spilleautomater] are effective to securely take the Six Shooter to the financial institution, there is a twenty five,000 multiplier waiting for you. The moment the 6 [http://www.purevolume.com/abbyaxvdulfl/posts/6932854/Ten+Ways+To+Keep+Your+Vi+Gir+Deg+Oversikt+Over+De+Beste+Spilleautomatene+P%C3%A5+Nettetet%21 on the web spilleautomater for mac-maskiner] Shooter actions onto the tracks, a fast locomotive will operate him more than, or else a sharp shooter will consider him down. However, the western see landscape is loaded with tons of deathly firepower and deadly tracks.<br><br>If you have 3 aces, you can perform a pair of aces powering and a high [http://www.purevolume.com/melodymabrydn/posts/6921854/The+Beste+Spilleautomater+For+Ekte+Penger+Eller+For+Moro+Skyld+Diaries automater villig nett] ace in front. Just as it is with any other casino game, there are strategies that you can create in order to improve your probabilities of winning at Pai Gow. It's each player's rule to always play the highest pair in front, no exceptions. For example, a 3 pair is a very great hand. If you have a full house, you can perform three of a kind behind and use the pair in front.<br><br>The great news is the jackpot rolled more than and is now worth a whopping $196 million for the subsequent drawing! There were hundreds of 1000's of Powerball winners, 833,828 to be exact, but sadly no 1 matched all 6 Powerball figures on July 24 to consider home the $166 million jackpot verify.<br><br>It all arrives down to your particular goals. By having to pay interest to these small things you can easily verify which machines you should be taking part in and which devices you ought to be staying clear of. In online slots machine games you really have to spend interest to a few of various elements: Payouts, bonuses, max cash, [http://www.alexa.com/search?q=denominations&r=topsites_index&p=bigtop denominations] etc.

	~~Although string theory naturally incorporates [[Kaluza–Klein theory~~]~~] (which first introduced the dilaton), [[perturbative]] string theories, such~~ as ~~[[type I string theory]], [[type II string theory]] and [[heterotic string]] theory, already contain~~ the ~~dilaton in~~ the ~~maximal~~ number ~~of 10 dimensions~~. However, ~~on the other hand~~, ~~[[M-theory]] in 11 dimensions does not include the dilaton in its spectrum unless it is [[Compactification~~ (~~physics~~)~~\|compactified]]~~. ~~In fact~~, ~~the dilaton in [[type IIA string theory]]~~ is ~~actually the [[radion (physics)\|radion]] of M-theory compactified over a circle~~, ~~while the dilaton in {{nowrap\|E~~<~~sub~~>8<~~/sub~~> ~~× E<sub>8</sub>}} string theory is~~ the ~~radion for~~ the ~~[[Hořava–Witten model]]~~. ~~(For more~~ on the ~~M-theory origin of~~ the ~~dilaton, see~~ [http://~~arxiv~~.~~org~~/~~abs~~/~~hep-th~~/~~0601141~~].)

	In [[~~string theory]~~], there is ~~also~~ a ~~dilaton in~~ the [~~[worldsheet]] CFT{{Clarify\|date=September 2013}}~~. ~~The [[exponential function\|exponential]] of its [[vacuum expectation value]] determines~~ the ~~[[coupling constant]] ''g'', as {{nowrap\|∫R {{=}} 2πχ}}~~ for ~~compact worldsheets by the [[Gauss~~-~~Bonnet theorem~~]~~] and~~ the ~~[[Euler characteristic]] {{nowrap\|χ {{=}} 2 − 2''g''}}~~, ~~where ''g''~~ is ~~the genus that counts the number~~ of ~~handles~~ and ~~thus the number of loops or string interactions described by a specific worldsheet~~.

	:<~~math~~>~~g = \exp(\langle \phi \rangle)~~<~~/math~~>

	~~Therefore the coupling constant is~~ a ~~dynamical variable in string theory, unlike the case~~ of [~~[quantum field theory~~]~~] where it is constant~~. ~~As long~~ as ~~supersymmetry~~ is ~~unbroken~~, ~~such scalar fields~~ can ~~take arbitrary values (they are [[moduli space\|moduli]])~~. ~~However~~, ~~[[supersymmetry breaking]] usually creates~~ a ~~[[potential energy]] for the scalar fields and the scalar fields localize near~~ a ~~minimum whose position should in principle be calculable in string theory~~.

	~~The dilaton acts like~~ a ~~[[Brans–Dicke theory\|Brans–Dicke]] scalar~~, ~~with the effective [[Planck scale]] depending upon ''both'' the string scale~~ and the ~~dilaton field~~.

	~~In supersymmetry,~~ the ~~[[superpartner]] of the dilaton~~ is ~~called~~ the '~~''dilatino'''~~, ~~and~~ the ~~dilaton combines with the [[axion]] to form a complex scalar field~~.

	~~== Dilaton action ==~~

	~~The dilaton-gravity action is~~
	:<~~math~~>~~\int d^Dx \sqrt{-g} \left[ \frac{1}{2\kappa} \left( \Phi R - \omega\left[ \Phi \right]\frac{g^{\mu\nu}\partial_\mu \Phi \partial_\nu \Phi}{\Phi} \right) - V[\Phi] \right]~~<~~/math~~>.
	~~This is more general than Brans–Dicke~~ in ~~that we~~ have a ~~dilaton potential.~~

	~~== See also ==~~

	* [[CGHS model]]
	* [[R=T model]]
	* [[Quantum_gravity#The_dilaton\|Quantum Gravity]]

	~~==References==~~
	*{{Cite journal \|first=Y. \|last=Fujii \|title=Mass of ~~the dilaton and the cosmological constant \|journal=~~[~~[Progress of Theoretical Physics\|Prog. Theor. Phys.]] \|volume=110 \|issue=3 \|year=2003 \|pages=433–439 \|doi=10.1143~~/~~PTP.110.433 \|arxiv = gr-qc~~/~~0212030 \|bibcode = 2003PThPh.110..433F }}~~
	*{{Cite journal \|first=M. \|last=Hayashi \|first2=T. ~~\|last2=Watanabe \|first3=I~~. \|last3=Aizawa \|lastauthoramp=yes \|first4=K. \|last4=Aketo \|title=Dilatonic Inflation and SUSY Breaking in String-inspired Supergravity \|journal=[[Modern Physics Letters]] A \|volume=18 \|issue=39 \|year=2003 \|pages=2785–2793 \|doi=10.1142/~~S0217732303012465 \|arxiv~~ = ~~hep-ph/0303029 \|bibcode~~ = ~~2003MPLA...18.2785H }}~~
	*{{Cite journal \|first=F. \|last=Alvarenge \|first2=A. \|last2=Batista \|lastauthoramp=yes \|first3=J. \|last3=Fabris \|title=Does Quantum Cosmology Predict a Constant Dilatonic Field \|journal=~~[[International Journal of Modern Physics~~]~~] D \|volume=14 \|issue=2 \|year=2005 \|pages=291–307 \|doi=10~~.~~1142/S0218271805005955 \|arxiv = gr-qc/0404034 \|bibcode = 2005IJMPD..14..291A }}~~
	*{{Cite arxiv\|first=H. \|last=Lu \|first2=Z. \|last2=Huang \|first3=W. \|last3=Fang \|lastauthoramp=yes \|first4=K. \|last4=Zhang \|title=Dark Energy and Dilaton Cosmology \|class=hep-th \|eprint=hep-th/0409309 \|year=2004}}
	*{{Cite book \|first=Paul S. \|last=Wesson \|title=Space-Time-Matter, Modern Kaluza-Klein Theory \|year=1999 \|publisher=World Scientific \|location=Singapore \|isbn=981-02-3588-7 \|page=31 }}

	~~{{particles}}~~

	~~[[Category:String theory]]~~
	~~[[Category:Supersymmetry]]~~
	~~[[Category:Hypothetical elementary particles]]~~

en>Enivid: /* Calculation */

2013-12-11T12:34:59Z

Calculation

← Older revision		Revision as of 14:34, 11 December 2013
Line 1:		Line 1:
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			In [[particle physics]], a '''dilaton''' is a [[hypothetical particle]]. It also appears in [[Kaluza-Klein theory]]'s [[compactification (physics)\|compactification]]s of extra [[dimension]]s when the volume of the compactified dimensions vary.

			It is a particle of a scalar field Φ; a scalar field that always comes with gravity. In standard [[general relativity]], [[Newton's constant]], or equivalently, the [[Planck mass]] is always constant. If we "promote" this constant to a dynamical field, what we would get is the dilaton.

			So, in Kaluza-Klein theories, after dimensional reduction, the effective Planck mass varies as some power of the volume of compactified space. This is why volume can turn out as a dilaton in the lower dimensional [[effective theory]].

			Although string theory naturally incorporates [[Kaluza–Klein theory]] (which first introduced the dilaton), [[perturbative]] string theories, such as [[type I string theory]], [[type II string theory]] and [[heterotic string]] theory, already contain the dilaton in the maximal number of 10 dimensions. However, on the other hand, [[M-theory]] in 11 dimensions does not include the dilaton in its spectrum unless it is [[Compactification (physics)\|compactified]]. In fact, the dilaton in [[type IIA string theory]] is actually the [[radion (physics)\|radion]] of M-theory compactified over a circle, while the dilaton in {{nowrap\|E<sub>8</sub> × E<sub>8</sub>}} string theory is the radion for the [[Hořava–Witten model]]. (For more on the M-theory origin of the dilaton, see [http://arxiv.org/abs/hep-th/0601141].)

			In [[string theory]], there is also a dilaton in the [[worldsheet]] CFT{{Clarify\|date=September 2013}}. The [[exponential function\|exponential]] of its [[vacuum expectation value]] determines the [[coupling constant]] ''g'', as {{nowrap\|∫R {{=}} 2πχ}} for compact worldsheets by the [[Gauss-Bonnet theorem]] and the [[Euler characteristic]] {{nowrap\|χ {{=}} 2 − 2''g''}}, where ''g'' is the genus that counts the number of handles and thus the number of loops or string interactions described by a specific worldsheet.

			:<math>g = \exp(\langle \phi \rangle)</math>

			Therefore the coupling constant is a dynamical variable in string theory, unlike the case of [[quantum field theory]] where it is constant. As long as supersymmetry is unbroken, such scalar fields can take arbitrary values (they are [[moduli space\|moduli]]). However, [[supersymmetry breaking]] usually creates a [[potential energy]] for the scalar fields and the scalar fields localize near a minimum whose position should in principle be calculable in string theory.

			The dilaton acts like a [[Brans–Dicke theory\|Brans–Dicke]] scalar, with the effective [[Planck scale]] depending upon ''both'' the string scale and the dilaton field.

			In supersymmetry, the [[superpartner]] of the dilaton is called the '''dilatino''', and the dilaton combines with the [[axion]] to form a complex scalar field.

			== Dilaton action ==

			The dilaton-gravity action is
			:<math>\int d^Dx \sqrt{-g} \left[ \frac{1}{2\kappa} \left( \Phi R - \omega\left[ \Phi \right]\frac{g^{\mu\nu}\partial_\mu \Phi \partial_\nu \Phi}{\Phi} \right) - V[\Phi] \right]</math>.
			This is more general than Brans–Dicke in that we have a dilaton potential.

			== See also ==

			* [[CGHS model]]
			* [[R=T model]]
			* [[Quantum_gravity#The_dilaton\|Quantum Gravity]]

			==References==
			*{{Cite journal \|first=Y. \|last=Fujii \|title=Mass of the dilaton and the cosmological constant \|journal=[[Progress of Theoretical Physics\|Prog. Theor. Phys.]] \|volume=110 \|issue=3 \|year=2003 \|pages=433–439 \|doi=10.1143/PTP.110.433 \|arxiv = gr-qc/0212030 \|bibcode = 2003PThPh.110..433F }}
			*{{Cite journal \|first=M. \|last=Hayashi \|first2=T. \|last2=Watanabe \|first3=I. \|last3=Aizawa \|lastauthoramp=yes \|first4=K. \|last4=Aketo \|title=Dilatonic Inflation and SUSY Breaking in String-inspired Supergravity \|journal=[[Modern Physics Letters]] A \|volume=18 \|issue=39 \|year=2003 \|pages=2785–2793 \|doi=10.1142/S0217732303012465 \|arxiv = hep-ph/0303029 \|bibcode = 2003MPLA...18.2785H }}
			*{{Cite journal \|first=F. \|last=Alvarenge \|first2=A. \|last2=Batista \|lastauthoramp=yes \|first3=J. \|last3=Fabris \|title=Does Quantum Cosmology Predict a Constant Dilatonic Field \|journal=[[International Journal of Modern Physics]] D \|volume=14 \|issue=2 \|year=2005 \|pages=291–307 \|doi=10.1142/S0218271805005955 \|arxiv = gr-qc/0404034 \|bibcode = 2005IJMPD..14..291A }}
			*{{Cite arxiv\|first=H. \|last=Lu \|first2=Z. \|last2=Huang \|first3=W. \|last3=Fang \|lastauthoramp=yes \|first4=K. \|last4=Zhang \|title=Dark Energy and Dilaton Cosmology \|class=hep-th \|eprint=hep-th/0409309 \|year=2004}}
			*{{Cite book \|first=Paul S. \|last=Wesson \|title=Space-Time-Matter, Modern Kaluza-Klein Theory \|year=1999 \|publisher=World Scientific \|location=Singapore \|isbn=981-02-3588-7 \|page=31 }}

			{{particles}}

			[[Category:String theory]]
			[[Category:Supersymmetry]]
			[[Category:Hypothetical elementary particles]]

en>JHunterJ: JHunterJ moved page Relative Strength Index to Relative strength index: requested move

2012-05-02T02:21:20Z

JHunterJ moved page Relative Strength Index to Relative strength index: requested move

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