Consistency of chiral symmetry breaking in chiral Yang-Mills theory with adiabatic continuity
We study the pattern of chiral symmetry breaking in the ψχη model [with the chiral fermion sector containing ψ{ij}, χ[ij], and $$η$$$^{A}_{i}$$; see Armoni and Shifman Phys. Rev. D 85, 105003 (2012)] on R3 × $$S$$$^{1}_{L}$$ 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. The instanton-monopole operators induce the adjoint chiral condensate <ψ{ij}χ[jk]> ≠ 0 at weak coupling, i.e., at L(S1) << Λ–1. Then adiabatic continuity tells us that <ψ{ij}χ[jk]> ≠ 0 exists on R4, in full accord with the prediction from Bolognesi et al. [Phys. Rev. D 97, 094007 (2018)]. Simultaneously with <ψ{ij}χ[jk]> ~ Λ3$$δ$$$^{i}_{k}$$, the SU(Nc) gauge symmetry is spontaneously broken at strong coupling down to its maximal Abelian subgroup.
- Research Organization:
- Univ. of Minnesota, Minneapolis, MN (United States)
- Sponsoring Organization:
- USDOE
- Grant/Contract Number:
- SC0011842
- OSTI ID:
- 1962936
- Alternate ID(s):
- OSTI ID: 2234262
- Journal Information:
- Physical Review. D., Journal Name: Physical Review. D. Vol. 107 Journal Issue: 5; ISSN 2470-0010
- Publisher:
- American Physical SocietyCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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