Consistency of chiral symmetry breaking in chiral Yang-Mills theory with adiabatic continuity

Chao Hsiang Sheu, Mikhail Shifman

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Abstract

We study the pattern of chiral symmetry breaking in the ψχη model [with the chiral fermion sector containing ψ{ij}, χ[ij], and ηiA; see Armoni and Shifman Phys. Rev. D 85, 105003 (2012)PRVDAQ1550-799810.1103/PhysRevD.85.105003] on R3×SL1 and derive implications forcing R4 physics. Center-symmetric vacua are stabilized by a double-trace deformation. With the center symmetry maintained at small L(S1)≪Λ-1, i.e., at weak coupling, no phase transitions are expected in passing to large L(S1)≫Λ-1 (here, Λ is the dynamical Yang-Mills scale). Starting with the small-L limit, we find the leading-order nonperturbative corrections in the given theory.

Original languageEnglish (US)
Article number054030
JournalPhysical Review D
Volume107
Issue number5
DOIs
StatePublished - Mar 15 2023

Bibliographical note

Publisher Copyright:
©≠0 at weak coupling, i.e., at L(S1)≪Λ-1. Then adiabatic continuity tells us that ⟨ψ{ij}χ[jk]

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