Long range order in gauge theories: Deformed QCD as a toy model

Thomas, Evan; Zhitnitsky, Ariel R.

doi:10.1103/physrevd.87.085027

Cited by 13 publications

(25 citation statements)

References 48 publications

(274 reference statements)

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“…From (19) it is quite obvious that metastable states always exist for sufficiently large N , which is definitely consistent with old and very generic arguments [1]. In our simplified version of the theory one can explicitly see how these metastable states emerge in the system, and how they are classified in terms of the scalar magnetic potential fields σ (x).…”

Section: Metastable Vacuum Statessupporting

confidence: 53%

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Metastable vacuum decay and θ dependence in gauge theory. Deformed QCD as a toy model

2015

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We study a number of different ingredients related to the θ dependence, metastable excited vacuum states and other related subjects using a simplified version of QCD, the so-called "deformed QCD". This model is a weakly coupled gauge theory, which, however, preserves all the relevant essential elements allowing us to study hard and nontrivial features which are known to be present in real strongly coupled QCD. Our main focus in this work is to test the ideas related to the metastable vacuum states (which are known to be present in strongly coupled QCD in large N limit) in a theoretically controllable manner using the "deformed QCD" as a toy model. We explicitly show how the metastable states emerge in the system, why their lifetime is large, and why these metastable states must be present in the system for the self-consistency of the entire picture of the QCD vacuum. We also speculate on possible relevance of the metastable vacuum states in explanation of the violation of local P and CP symmetries in heavy ion collisions. Crown

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Section: Metastable Vacuum Statessupporting

confidence: 53%

“…So, we get a constraint on m in the form of (19), and also on N . From (19) it is quite obvious that metastable states always exist for sufficiently large N , which is definitely consistent with old and very generic arguments [1].…”

Section: Metastable Vacuum Statesmentioning

confidence: 98%

Metastable vacuum decay and θ dependence in gauge theory. Deformed QCD as a toy model

2015

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“…As emphasized, dYM has intrinsically 4d aspects not present in the 3d Polyakov model. There are a number of interesting recent works studying dYM, for example, [62][63][64][65][66], and [67][68][69], and see [70,71] for initial lattice studies.…”

Section: Deformed Yang-mills and Adiabatic Continuitymentioning

confidence: 99%

New Nonperturbative Methods in Quantum Field Theory: From Large-NOrbifold Equivalence to Bions and Resurgence

Dunne

Ünsal

2016

Annu. Rev. Nucl. Part. Sci.

112

170

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We present a broad conceptual introduction to some new ideas in non-perturbative QFT. The large-N orbifold-orientifold equivalence connects a natural large-N limit of QCD to QCD with adjoint fermions. QCD(adj) with periodic boundary conditions and double-trace deformation of Yang-Mills theory satisfy large-N volume independence, a type of orbifold equivalence. Certain QFTs that satisfy volume independence at N = ∞ exhibit adiabatic continuity at finite-N , and also become semi-classically calculable on small R 3 × S 1 . We discuss the role of monopole-instantons, and magnetic and neutral bion saddles in connection to mass gap, and center and chiral symmetry realizations. Neutral bions also provide a weak coupling semiclassical realization of infrared-renormalons. These considerations help motivate the necessity of complexification of path integrals (Picard-Lefschetz theory) in semi-classical analysis, and highlights the importance of hidden topological angles. Finally, we briefly review the resurgence program, which potentially provides a novel non-perturbative continuum definition of QFT. All these ideas are continuously connected.Keywords: large-N orbifold and orientifold equivalence, volume independence, double-trace deformations, adiabatic continuity, semi-classical calculability, magnetic and neutral bions, Picard-Lefschetz theory of path integration, and resurgence arXiv:1601.03414v1 [hep-th]

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“…It was argued in Refs. [62,63] that the hot nuclear matter exhibits certain long-range correlations that ought be clearly seen in this limit. Unfortunately, the poor convergence of my numerical procedure at large R, due to the proliferation of the Bessel function zeros, did not allow me to verify the predictions of Refs.…”

Section: Application To Heavy-ion Collisionsmentioning

confidence: 97%

“…Unfortunately, the poor convergence of my numerical procedure at large R, due to the proliferation of the Bessel function zeros, did not allow me to verify the predictions of Refs. [62,63].…”

Section: Application To Heavy-ion Collisionsmentioning

confidence: 99%

Impact of domain walls on the chiral magnetic effect in hot QCD matter

Tuchin

2018

Phys. Rev. C

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The chiral magnetic effect (CME)-the separation of positive and negative electric charges along the direction of the external magnetic field in quark-gluon plasma and other topologically nontrivial media-is a consequence of the coupling of electrodynamics to the topological gluon field fluctuations that form metastable CP -odd domains. In phenomenological models it is usually assumed that the domains are uniform and the influence of the domain walls on the electric current flow is not essential. This article challenges the latter assumption. A simple model consisting of a uniform spherical domain in a uniform time-dependent magnetic field is introduced and analytically solved. It is shown that (i) no electric current flows into or out of the domain; (ii) the charge separation current, viz. the total electric current flowing inside the domain in the external field direction, is a dissipative Ohm current; (iii) the CME effect can be produced either by the anomalous current or by the boundary conditions on the domain wall; and (iv) the charge separation current oscillates in plasma long after the external field decays. These properties are qualitatively different from the CME in an infinite medium.

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Long range order in gauge theories: Deformed QCD as a toy model

Cited by 13 publications

References 48 publications

Metastable vacuum decay and θ dependence in gauge theory. Deformed QCD as a toy model

Metastable vacuum decay and θ dependence in gauge theory. Deformed QCD as a toy model

New Nonperturbative Methods in Quantum Field Theory: From Large-NOrbifold Equivalence to Bions and Resurgence

Impact of domain walls on the chiral magnetic effect in hot QCD matter

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