Conformal geometry - Revision history

en>Quondum: replacing redirect Holomorphic to dab page with appropriate destination Holomorphic function

2014-12-08T01:12:35Z

replacing redirect Holomorphic to dab page with appropriate destination Holomorphic function

← Older revision		Revision as of 03:12, 8 December 2014
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	~~In [[quantum field theory]] the~~ '''~~vacuum expectation value~~''' ~~(also called ''~~'~~condensate~~'~~'' or simply VEV) of an [[Operator (physics)\|operator]] is its average, [[Expectation value (quantum mechanics)\|expected value]] in~~ the [~~[Vacuum state\|vacuum~~]~~]. The vacuum expectation value~~ of ~~an operator <var>O<~~/~~var> is usually denoted by <math>\langle O\rangle<~~/~~math>~~. ~~One~~ of the ~~most widely used, but controversial~~, ~~examples~~ of ~~an observable physical effect that results~~ from the ~~vacuum expectation value of an operator~~ is the ~~[[Casimir effect]]~~.

	~~This concept is important for working with [[Correlation function (quantum field theory)\|correlation functions]]~~ in ~~[[quantum field theory]]. It is also important~~ in [~~[spontaneous symmetry breaking]]~~. ~~Examples are:~~		Yet unfortunately Supercell, by allowing the illusion on the multi-player game, taps into you're instinctual male drive towards from the status hierarchy, and even though it''s unattainable to the top of your hierarchy if it's not necessary been logging in regularly because the game turned out plus you invested honest money in extra builders, the drive for getting a small bit further forces enough [http://Photo.net/gallery/tag-search/search?query_string=visitors visitors] to make investments a real income in relation to virtual 'gems'" that exercise could be the top-grossing app within the App Store.<br><br>Be sure to pay attention to a mission's evaluation when purchasing a variety of. This evaluation will allow you to learn what age level clash of clans hack tool is best suited for and will state when the sport is violent. It figure out whether you have to buy the sport.<br><br>Obviously if you are searching in support of a particular game so that it will buy but want which can purchase it at their best price possible, exercise the "shopping" tab available on many search magnetic motors. This will doable you to immediately find the prices of unquestionably the game at all your current major retailers online. You can also catch a glimpse of ratings for the proprietor in question, helping that you determine who you should buy the game right from.<br><br>Linger for game of the particular season editions of worthwhile titles. These regularly come out per 12 month or higher after all the initial headline, but feature a lot of specific down-loadable and extra content material material which was released when steps once the extremely headline. These sport titles supply a wonderful deal more bang for this particular buck.<br><br>It's hard to select the most advisable xbox game gaming system. In the beginning, you should regarding your standard requirements as the video game player, as well as check out the extra features made available from for each unit you are making plans for. Consider investigating on-line. Check credentials to ascertain if a variety of other gamers have discovered problems with the unit. For you to buying a game process, you should know possibly you are able that can regarding it.<br><br>Plainly individuals who produced these Crack Clash of Families are true fans with regards to the sport themselves, also this is exactly what ensures the potency at our alternative, because the two of us needed to do the idea ourselves.
	*The [[Higgs field]~~] has~~ a ~~vacuum expectation value of 246 [[GeV]]~~ <~~ref~~>~~{{cite doi\|10.1016/j.physletb.2008.07.018\|noedit}}~~<~~/ref~~> This ~~nonzero value underlies~~ the ~~[[Higgs mechanism]] of~~ the ~~[[Standard Model]]~~.
	*The [[chiral condensate]] in ~~[[Quantum chromodynamics]], about a factor~~ of a ~~thousand smaller than~~ the ~~above, gives a large effective mass to [[quark]]s, and distinguishes between phases of [[quark matter]]~~. This ~~underlies~~ the ~~bulk~~ of the ~~mass of most hadrons~~.
	*The [[gluon condensate]] in [[Quantum chromodynamics]] may also ~~be partly responsible~~ for ~~masses of hadrons~~.

	~~The observed [[Lorentz invariance]]~~ of ~~space-time allows only~~ the ~~formation~~ of ~~condensates which are [[Lorentz scalar]]s and have vanishing [[charge (physics)\|charge]]{{fact\|date=April 2013}}~~. ~~Thus [[fermion]] condensates must be~~ of the ~~form~~ <~~math~~>~~\langle\overline\psi\psi\rangle~~<~~/math~~>, ~~where <var>ψ</var> is~~ the ~~fermion field~~. ~~Similarly~~ a ~~tensor field, <var>G</var><sub><var>μν</var></sub>~~, can ~~only have a scalar expectation value such as~~ <~~math~~>~~\langle G_{\mu\nu}G^{\mu\nu}\rangle~~<~~/math~~>.

	~~In some [[Vacuum#The quantum-mechanical vacuum\|vacua]]~~ of ~~[[string theory]]~~, ~~however, non-scalar condensates are found{{which\|date=April 2013}}. If these describe~~ our ~~[[universe]]~~, ~~then [[Lorentz_symmetry#Lorentz_violation\|Lorentz symmetry violation]] may be observable~~.

	~~==See also==~~
	*[[Wightman axioms]] and [[Correlation function (quantum field theory)]]
	*[[vacuum energy]] or [[dark energy]]
	*[[Spontaneous symmetry breaking]]

	~~== References ==~~
	~~{{Reflist}}~~

	~~{{DEFAULTSORT:Vacuum Expectation Value}}~~
	~~[[Category:Quantum field theory]]~~
	~~[[Category:Standard Model]]~~

	~~{{Quantum-stub}}~~

en>Quondum: /* See also */ + Conformal geometric algebra

2014-01-10T19:07:17Z

See also: + Conformal geometric algebra

← Older revision		Revision as of 21:07, 10 January 2014
Line 1:		Line 1:
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			In [[quantum field theory]] the '''vacuum expectation value''' (also called '''condensate''' or simply VEV) of an [[Operator (physics)\|operator]] is its average, [[Expectation value (quantum mechanics)\|expected value]] in the [[Vacuum state\|vacuum]]. The vacuum expectation value of an operator <var>O</var> is usually denoted by <math>\langle O\rangle</math>. One of the most widely used, but controversial, examples of an observable physical effect that results from the vacuum expectation value of an operator is the [[Casimir effect]].

			This concept is important for working with [[Correlation function (quantum field theory)\|correlation functions]] in [[quantum field theory]]. It is also important in [[spontaneous symmetry breaking]]. Examples are:
			*The [[Higgs field]] has a vacuum expectation value of 246 [[GeV]] <ref>{{cite doi\|10.1016/j.physletb.2008.07.018\|noedit}}</ref> This nonzero value underlies the [[Higgs mechanism]] of the [[Standard Model]].
			*The [[chiral condensate]] in [[Quantum chromodynamics]], about a factor of a thousand smaller than the above, gives a large effective mass to [[quark]]s, and distinguishes between phases of [[quark matter]]. This underlies the bulk of the mass of most hadrons.
			*The [[gluon condensate]] in [[Quantum chromodynamics]] may also be partly responsible for masses of hadrons.

			The observed [[Lorentz invariance]] of space-time allows only the formation of condensates which are [[Lorentz scalar]]s and have vanishing [[charge (physics)\|charge]]{{fact\|date=April 2013}}. Thus [[fermion]] condensates must be of the form <math>\langle\overline\psi\psi\rangle</math>, where <var>ψ</var> is the fermion field. Similarly a tensor field, <var>G</var><sub><var>μν</var></sub>, can only have a scalar expectation value such as <math>\langle G_{\mu\nu}G^{\mu\nu}\rangle</math>.

			In some [[Vacuum#The quantum-mechanical vacuum\|vacua]] of [[string theory]], however, non-scalar condensates are found{{which\|date=April 2013}}. If these describe our [[universe]], then [[Lorentz_symmetry#Lorentz_violation\|Lorentz symmetry violation]] may be observable.

			==See also==
			*[[Wightman axioms]] and [[Correlation function (quantum field theory)]]
			*[[vacuum energy]] or [[dark energy]]
			*[[Spontaneous symmetry breaking]]

			== References ==
			{{Reflist}}

			{{DEFAULTSORT:Vacuum Expectation Value}}
			[[Category:Quantum field theory]]
			[[Category:Standard Model]]

			{{Quantum-stub}}

62.62.174.68: /* Conformal manifolds */

2012-08-08T19:26:59Z

Conformal manifolds

New page

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