Planar Limit of Orientifold Field Theories and Emergent Center Symmetry

Armoni, Adi; Shifman, M.; Ünsal, Mithat

doi:10.2172/920593

Cited by 3 publications

(4 citation statements)

References 30 publications

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“…Presumably, there is no phase transition in µ, and the Abelian and non-Abelian flux tubes are smoothly connected. A similar phenomenon takes place [5] in QCD-like theories on R 3 × S 1 . The radius r of the compactified dimension plays the same role as µ.…”

Section: Introductionsupporting

confidence: 65%

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Non-Abelian strings and the Lüscher term

Shifman¹,

Yung²

2008

Phys. Rev. D

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We calculate the Lüscher term for recently suggested non-Abelian flux tubes (strings). The main feature of the non-Abelian strings is the presence of orientational zero modes associated with rotation of their color flux inside a non-Abelian subgroup. The Lüscher term is determined by the number of light degrees of freedom on the string wordsheet. Unlike the standard π/12 we get N π/12 for non-Abelian strings in the U(N ) gauge theories. Thus, the Lüscher coefficient acquires a dependence on the rank of the gauge group. In the models with non-Abelian strings discussed in the literature there are two distinct scales: the string tension ξ (the string thickness ∼ ξ −1/2 ) and the dynamical scale of strong interactions Λ. At weak coupling ξ ≫ Λ 2 . The Lüscher term for non-Abelian strings experiences a jump: at ξ −1/2 ≪ L ≪ Λ −1 it is N π/12 while at at L ≫ Λ −1 the orientational moduli are frozen out and the Lüscher coefficient approaches its "Lüscher" value π/12. We raise the question of possible extra (i.e. non-translational) light moduli on the worldsheet of QCD strings at large N .

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Section: Introductionsupporting

confidence: 65%

“…[2,6] with the mass gap suppressed by powers of 1/N. A heuristic motivation is provided by a consideration on R 3 × S 1 similar to [5]. If the value of the S 1 radius r is small compared to Λ −1 , we deal with N − 1 distinct Abelian strings which must fuse into a single non-Abelian string at r > Λ −1 .…”

Section: Qcd Stringsmentioning

confidence: 99%

Non-Abelian strings and the Lüscher term

Shifman¹,

Yung²

2008

Phys. Rev. D

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“…Assume equivalence is valid. Then, if either the parent or daughter theory has a global symmetry which protects an observable, then in the other theory (which does not possess the same global symmetry) the image observable behaves as if it is protected by the higher symmetry of the companion [15,16]. Why is this so?…”

Section: Large-n Orbifold and Orientifold Equivalencesmentioning

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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“…In other words, in the large-N limit, SU (N ) gauge theories with fermions in the adjoint representation (Adj) are equivalent to the same gauge theory with fermions in either the symmetric (S) or antisymmetric (A) representation. The history of the subject has an interesting arc; see [210] for an introductory discussion. There is a very general formalism for describing many forms of large-N equivalences [211], with which a detailed discussion of many forms of planar equivalence can be carried out [212][213][214].…”

Section: B Planar Equivalencementioning

confidence: 99%

Phases of gauge theories

Ogilvie¹

2012

J. Phys. A: Math. Theor.

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One of the most fundamental questions we can ask about a given gauge theory is its phase diagram. In the standard model, we observe three fundamentally different types of behavior: QCD is in a confined phase at zero temperature, while the electroweak sector of the standard model combines Coulomb and Higgs phases. Our current understanding of the phase structure of gauge theories owes much to the modern theory of phase transitions and critical phenomena, but has developed into a subject of extensive study. After reviewing some fundamental concepts of phase transitions and finite-temperature gauge theories, we discuss some recent work that broadly extends our knowledge of the mechanisms that determine the phase structure of gauge theories. A new class of models with a rich phase structure has been discovered, generalizing our understanding of the confinement-deconfinement transition in finite-temperature gauge theories. Models in this class have space-time topologies with one or more compact directions. On R 3 ×S 1 , the addition of double-trace deformations or periodic adjoint fermions to a gauge theory can yield a confined phase in the region where the S 1 circumference L is small, so that the coupling constant is small, and semiclassical methods are applicable. In this region, Euclidean monopole solutions, which are constituents of finite-temperature instantons, play a crucial role in the calculation of a non-perturbative string tension. We review the techniques use to analyze this new class of models and the results obtained so far, as well as their application to finite-temperature phase structure, conformal phases of gauge theories and the large-N

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Planar Limit of Orientifold Field Theories and Emergent Center Symmetry

Cited by 3 publications

References 30 publications

Non-Abelian strings and the Lüscher term

Non-Abelian strings and the Lüscher term

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

Phases of gauge theories

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