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Instanton fluid information


In quantum field theory, the instanton fluid model is a model of Wick rotated Euclidean quantum chromodynamics. If we examine the path integral of the action, we find that it has infinitely many local minima, corresponding to varying instanton numbers. It turns out that the dominant contribution to the path integral comes from configurations consisting of a pool of instantons and antiinstantons. The exponential suppression coming from the increased action is compensated by the increased phase space factor coming from all the instantons. In other words, the "Euclidean" free energy is minimized by a pool of instantons.

We also know that in the presence of an instanton, left-handed quarks of each flavor will be produced and right-handed quarks annihilated. This evidently will have consequences to the chiral dynamics of the theory.

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Instanton fluid

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In quantum field theory, the instanton fluid model is a model of Wick rotated Euclidean quantum chromodynamics. If we examine the path integral of the...

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Instanton

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An instanton (or pseudoparticle) is a notion appearing in theoretical and mathematical physics. An instanton is a classical solution to equations of motion...

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List of nonlinear partial differential equations

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u_{xx}} Fluid mechanics Benjamin–Bona–Mahony 1+1 u t + u x + u u x − u x x t = 0 {\displaystyle \displaystyle u_{t}+u_{x}+uu_{x}-u_{xxt}=0} Fluid mechanics...

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Soliton

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which exhibit concentrated localized energy with non-linear properties. Instantons Nematicons Non-topological soliton, in quantum field theory Nonlinear...

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Gauge theory

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class of mappings from that manifold to the Lie group is nontrivial. See instanton for an example. The Yang–Mills action is now given by 1 4 g 2 ∫ Tr ⁡ [...

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2023 in science

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in the universe, and suggested that the universe may have begun with instantons, and may be a black hole. 2 October Katalin Karikó and Drew Weissman share...

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Black hole

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Antoci, S. (1999). "On the gravitational field of a sphere of incompressible fluid according to Einstein's theory". arXiv:physics/9912033. Droste, J. (1917)...

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Supersymmetry

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model N = 4 supersymmetric Yang–Mills theory Twistor string theory Dark fluid Doubly special relativity de Sitter invariant special relativity Causal...

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Magnetic monopole

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lodestones to two different "magnetic fluids" ("effluvia"), a north-pole fluid at one end and a south-pole fluid at the other, which attracted and repelled...

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Breakthrough Prize in Fundamental Physics

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string theory including the conformal bootstrap, magnetic monopoles, instantons, confinement/de-confinement, the quantization of strings in non-critical...

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Alexander Arkadyevich Migdal

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Lebedev) a description of intermittency in nonlinear systems by means of Instanton solutions of the stochastic differential equations. After a hiatus in...

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Topological defect

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mapping S 3 → S U ( 2 ) {\displaystyle S^{3}\to SU(2)} . In the 1980's, the instanton and related solutions of the Wess–Zumino–Witten models, rose to considerable...

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Geometry Festival

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geodesics Keith Burns, Geodesic flows on the 2-sphere Andreas Floer, Instantons and Casson's invariant Hermann Karcher, Embedded minimal surfaces in the...

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String theory

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1088/1126-6708/1998/02/003. S2CID 7562354. Nekrasov, Nikita; Schwarz, Albert (1998). "Instantons on noncommutative R4 and (2,0) superconformal six dimensional theory"...

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Brane

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algebra Kac–Moody algebra Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie...

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Supersymmetric theory of stochastic dynamics

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essentially a composite instanton and TS is intrinsically broken within instantons. Even though TS breaking within instantons is not exactly due to the...

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Integrable system

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Academic Press. ISBN 978-0-12-083180-7. Dunajski, M. (2009). Solitons, Instantons and Twistors. Oxford University Press. ISBN 978-0-19-857063-9. Faddeev...

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Supergravity

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algebra Kac–Moody algebra Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie...

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History of string theory

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algebra Kac–Moody algebra Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie...

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Mathematical formulation of the Standard Model

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see Fuentes-Martín, J.; Portolés, J.; Ruiz-Femenía, P. (January 2015). "Instanton-mediated baryon number violation in non-universal gauge extended models"...

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Harmonic map

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theory, harmonic maps correspond to instantons. One of the original ideas in grid generation methods for computational fluid dynamics and computational physics...

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Dual graviton

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algebra Kac–Moody algebra Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie...

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