Adiabatic continuity and confinement in supersymmetric Yang-Mills theory on the lattice

Bergner, Georg; Piemonte, Stefano; Ünsal, Mithat

doi:10.1007/JHEP11(2018)092

Title: Adiabatic continuity and confinement in supersymmetric Yang-Mills theory on the lattice

Journal Article · 14 November 2018 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP11(2018)092 · OSTI ID:1609454

Bergner, Georg ^[1]; Piemonte, Stefano ^[2]; Ünsal, Mithat ^[3]

Friedrich Schiller Univ., Jena (Germany); DOE/OSTI
Univ. of Regensburg (Germany)
North Carolina State Univ., Raleigh, NC (United States)

This work is a step towards merging the ideas that arise from semi-classical methods in continuum QFT with analytic/numerical lattice field theory. In this context, we consider Yang-Mills theories coupled to fermions transforming in the adjoint representation of the gauge group. These theories have the remarkable property that confinement and discrete chiral symmetry breaking can persist at weak coupling on R³ × S¹ up to small (non-thermal) compactification radii. This work presents a lattice investigation of a gauge theory coupled to a single adjoint Majorana fermion, the N=1 Supersymmetric Yang-Mills theory (SYM), and opens the prospect to understand analytically a number of non-perturbative phenomena, such as confinement, mass gap, chiral and center symmetry realizations, both on the lattice and in the continuum. We study the compactification of N=1 SYM on the lattice with periodic and thermal boundary conditions applied to the fermion field. We provide numerical evidences for the conjectured absence of phase transitions with periodic boundary conditions for sufficiently light lattice fermions (stability of center-symmetry), for the suppression of the chiral transition, and we provide also a diagnostic for Abelian vs. non-Abelian confinement, based on per-site Polyakov loop eigenvalue distribution functions. We identify the role of the lattice artefacts that become relevant in the very small radius regime, and we resolve some puzzles in the naive comparison between continuum and lattice.

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Research Organization:: North Carolina State Univ., Raleigh, NC (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-03ER41260

OSTI ID:: 1609454

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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