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

Abstract

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 R 3 × S 1 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 themore » lattice artefacts that become relevant in the very small radius regime, and we resolve some puzzles in the naive comparison between continuum and lattice.« less

Authors:
 [1];  [2];  [3]
  1. Friedrich Schiller Univ., Jena (Germany)
  2. Univ. of Regensburg (Germany)
  3. North Carolina State Univ., Raleigh, NC (United States)
Publication Date:
Research Org.:
North Carolina State Univ., Raleigh, NC (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1609454
Grant/Contract Number:  
FG02-03ER41260
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2018; Journal Issue: 11; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics

Citation Formats

Bergner, Georg, Piemonte, Stefano, and Ünsal, Mithat. Adiabatic continuity and confinement in supersymmetric Yang-Mills theory on the lattice. United States: N. p., 2018. Web. doi:10.1007/JHEP11(2018)092.
Bergner, Georg, Piemonte, Stefano, & Ünsal, Mithat. Adiabatic continuity and confinement in supersymmetric Yang-Mills theory on the lattice. United States. https://doi.org/10.1007/JHEP11(2018)092
Bergner, Georg, Piemonte, Stefano, and Ünsal, Mithat. Wed . "Adiabatic continuity and confinement in supersymmetric Yang-Mills theory on the lattice". United States. https://doi.org/10.1007/JHEP11(2018)092. https://www.osti.gov/servlets/purl/1609454.
@article{osti_1609454,
title = {Adiabatic continuity and confinement in supersymmetric Yang-Mills theory on the lattice},
author = {Bergner, Georg and Piemonte, Stefano and Ünsal, Mithat},
abstractNote = {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.},
doi = {10.1007/JHEP11(2018)092},
url = {https://www.osti.gov/biblio/1609454}, journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 11,
volume = 2018,
place = {United States},
year = {2018},
month = {11}
}

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Cited by: 4 works
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