Center-stabilized Yang-Mills theory: Confinement and large<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>volume independence

Ünsal, Mithat; Yaffe, Laurence G.

doi:10.1103/physrevd.78.065035

Cited by 276 publications

(549 citation statements)

References 45 publications

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“…Most importantly, the same behaviour can be demonstrated to emerge [46] in four dimensional "deformed QCD" formulated in [47] where all computations can be explicitly performed as the model is in a weak coupling regime. In the "deformed QCD" the behaviour (7) is direct manifestation of topological structure of the ground state when the non-trivial topological sectors of the theory and transitions between them are described in terms of the weakly coupled monopoles.…”

Section: A Low Energy Relationsmentioning

confidence: 69%

Local violation effects and thermalization in QCD: Views from quantum field theory and holography

Zhitnitsky

2012

Nuclear Physics A

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We argue that the local violation of P and CP invariance in heavy ion collisions and the universal thermal aspects observed in high energy collisions are in fact two sides of the same coin, and both are related to quantum anomalies of QCD. We argue that the low energy relations representing the quantum anomalies of QCD are saturated by coherent low dimensional vacuum configurations as observed in Monte Carlo lattice studies. The thermal spectrum and approximate universality of the temperature with no dependence on energy of colliding particles in this framework is due to the fact that the emission results from the distortion of these low dimensional vacuum sheets rather than from the colliding particles themselves. The emergence of the long-range correlations of P odd domains (a feature which is apparently required for explanation of the asymmetry observed at RHIC and LHC) is also a result of the same distortion of the QCD vacuum configurations. We formulate the corresponding physics using the effective low energy effective Lagrangian. We also formulate the same physics in terms of the dual holographic picture when low-dimensional sheets of topological charge embedded in 4d space, as observed in Monte Carlo simulations, are identified with D2 branes. Finally, we argue that study of these long range correlations in heavy ion collisions could serve as a perfect test of a proposal that the observed dark energy in present epoch is a result of a tiny deviation of the QCD vacuum energy in expanding universe from its conventional value in Minkowski spacetime.

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Section: A Low Energy Relationsmentioning

confidence: 69%

Local violation effects and thermalization in QCD: Views from quantum field theory and holography

Zhitnitsky

2012

Nuclear Physics A

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“…4 Furthermore, there are important differences between Polyakov's mechanism on R 3 and confinement on R 3 × S 1 . In dYM there is an extra contribution from a "Kaluza-Klein" monopole-instanton [11,12], thanks to the compact S 1 L . In QCD(adj) the additional feature is that the gas is composed of topological molecules, magnetic bions [13], instead of fundamental monopole-instantons.…”

Section: Jhep10(2015)051mentioning

confidence: 99%

“…Our aim is to provide a physical picture of their ground states using the understood confining dynamics, in a more general set of theories (not necessarily supersymmetric). We study two classes of theories, deformed Yang-Mills theory (dYM) and YangMills theory with adjoint fermions (QCD(adj)), compactified on a spatial circle, R 3 × S 1 L , with periodic boundary conditions for the fermions, whose study began in [11][12][13]. We focus on theories with su(N c ) Lie algebra in the Λ QCD LN c 1 semiclassically calculable regime, where Λ QCD is the strong coupling scale.…”

Section: Jhep10(2015)051mentioning

confidence: 99%

On the global structure of deformed Yang-Mills theory and QCD(adj) on ℝ 3 × S 1 $$ {\mathrm{\mathbb{R}}}^3\times {\mathbb{S}}^1 $$

Anber

Poppitz

2015

J. High Energ. Phys.

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Spatial compactification on R 3 ×S 1 L at small S 1 -size L often leads to a calculable vacuum structure, where various "topological molecules" are responsible for confinement and the realization of the center and discrete chiral symmetries. Within this semiclassically calculable framework, we study how distinct theories with the same SU(N c )/Z k gauge group (labeled by "discrete θ-angles") arise upon gauging of appropriate Z k subgroups of the oneform global center symmetry of an SU(N c ) gauge theory. We determine the possible Z k actions on the local electric and magnetic effective degrees of freedom, find the ground states, and use domain walls and confining strings to give a physical picture of the vacuum structure of the different SU(N c )/Z k theories. Some of our results reproduce ones from earlier supersymmetric studies, but most are new and do not invoke supersymmetry. We also study a further finite-temperature compactification to R 2 × S 1 β × S 1 L . We argue that, in deformed Yang-Mills theory, the effective theory near the deconfinement temperature β c L exhibits an emergent Kramers-Wannier duality and that it exchanges high-and low-temperature theories with different global structure, sharing features with both the Ising model and S-duality in N = 4 supersymmetric Yang-Mills theory.

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“…This confinement mechanism may remain responsible for the confinement at strong-coupling regime due to the continuity principle. This argument is also of importance in terms of the recent progress in large-N volume reduction [30][31][32][33][34][35][36][37][38][39][40]. On the other side, neutral bions (zero topological charge and zero magnetic charge) can be identified as the infrared renormalon [10][11][12][13][14][15][16][17][18][19][41][42][43].…”

Section: Introductionmentioning

confidence: 99%

Neutral bions in the ℂ $$ \mathbb{C} $$ P N −1 model

Misumi

Nitta

Sakai

2014

J. High Energ. Phys.

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We study classical configurations in the CP N −1 model on R 1 × S 1 with twisted boundary conditions. We focus on specific configurations composed of multiple fractionalized-instantons, termed "neutral bions", which are identified as "perturbative infrared renormalons" byÜnsal and his collaborators. For Z N twisted boundary conditions, we consider an explicit ansatz corresponding to topologically trivial configurations containing one fractionalized instanton (ν = 1/N ) and one fractionalized anti-instanton (ν = −1/N ) at large separations, and exhibit the attractive interaction between the instanton constituents and how they behave at shorter separations. We show that the bosonic interaction potential between the constituents as a function of both the separation and N is consistent with the standard separated-instanton calculus even from short to large separations, which indicates that the ansatz enables us to study bions and the related physics for a wide range of separations. We also propose different bion ansatze in a certain non-Z N twisted boundary condition corresponding to the "split" vacuum for N = 3 and its extensions for N ≥ 3. We find that the interaction potential has qualitatively the same asymptotic behavior and N -dependence as those of bions for Z N twisted boundary conditions.

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Center-stabilized Yang-Mills theory: Confinement and largeNvolume independence

Cited by 276 publications

References 45 publications

Local violation effects and thermalization in QCD: Views from quantum field theory and holography

Local violation effects and thermalization in QCD: Views from quantum field theory and holography

On the global structure of deformed Yang-Mills theory and QCD(adj) on ℝ 3 × S 1 $$ {\mathrm{\mathbb{R}}}^3\times {\mathbb{S}}^1 $$

Neutral bions in the ℂ $$ \mathbb{C} $$ P N −1 model

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