Study of center and chiral symmetry realization in thermal $\mathcal{N}=1$ super Yang-Mills theory using the gradient flow

Bergner, Georg; López, Camilo; Piemonte, Stefano

doi:10.1103/PhysRevD.100.074501

Study of center and chiral symmetry realization in thermal $\mathcal{N}=1$ super Yang-Mills theory using the gradient flow

Feb 22, 2019

12 pages

Published in:

Phys.Rev.D 100 (2019) 7, 074501

Published: Oct 5, 2019

e-Print:

1902.08469 [hep-lat]

DOI:

10.1103/PhysRevD.100.074501

View in:

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Abstract: (APS)

The realization of center and chiral symmetries in N=1 super Yang-Mills theory (SYM) is investigated on a four-dimensional Euclidean lattice by means of Monte Carlo methods. At zero temperature this theory is expected to confine external fundamental charges and to have a nonvanishing gaugino condensate, which breaks the nonanomalous Z2Nc chiral symmetry. In this work we find, for the first time, a nonvanishing condensate at zero temperature and zero gaugino mass with Wilson fermions. This is achieved by means of the renormalization properties of the Yang-Mills and fermion gradient flows, which are independent of the lattice regularization. At finite temperatures, we find that the phase transitions corresponding to deconfinement and chiral restoration occur at roughly the same critical temperature for SU(2) gauge group, implying the saturation of the bound Tchiralc≤Tdecc, recently obtained through anomaly matching. We furthermore discuss the agreement of our findings with conjectures from superstring theory.

Note:

19 pages, 3 figures, corrected figures and extended references

Lattice field theories, lattice QCD
supersymmetry: 1
lattice field theory: supersymmetry
gauge field theory: Yang-Mills: supersymmetry
symmetry: chiral
temperature: 0
gauge field theory: Yang-Mills
gaugino: condensation
fermion: Wilson
gaugino: mass

References(56)

Figures(0)

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Study of center and chiral symmetry realization in thermal N=1\mathcal{N}=1N=1 super Yang-Mills theory using the gradient flow

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Study of center and chiral symmetry realization in thermal $\mathcal{N}=1$ super Yang-Mills theory using the gradient flow