Direkt zum Inhalt

Bergner, Georg ; Piemonte, Stefano ; Ünsal, Mithat

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

Bergner, Georg, Piemonte, Stefano und Ünsal, Mithat (2018) Adiabatic continuity and confinement in supersymmetric Yang-Mills theory on the lattice. Journal of High Energy Physics 2018 (11), S. 1-36.

Veröffentlichungsdatum dieses Volltextes: 06 Apr 2021 15:03
Artikel
DOI zum Zitieren dieses Dokuments: 10.5283/epub.45518


Zusammenfassung

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 ...

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 x 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 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.



Beteiligte Einrichtungen


Details

DokumentenartArtikel
Titel eines Journals oder einer ZeitschriftJournal of High Energy Physics
Verlag:Springer
Ort der Veröffentlichung:NEW YORK
Band:2018
Nummer des Zeitschriftenheftes oder des Kapitels:11
Seitenbereich:S. 1-36
Datum14 November 2018
InstitutionenPhysik > Institut für Theoretische Physik
Identifikationsnummer
WertTyp
10.1007/JHEP11(2018)092DOI
Stichwörter / KeywordsINSTANTONS; MONOPOLES; TOPOLOGY; Confinement; Lattice Quantum Field Theory; Supersymmetric Gauge Theory; Wilson; 't Hooft and Polyakov loops
Dewey-Dezimal-Klassifikation500 Naturwissenschaften und Mathematik > 530 Physik
StatusVeröffentlicht
BegutachtetJa, diese Version wurde begutachtet
An der Universität Regensburg entstandenJa
URN der UB Regensburgurn:nbn:de:bvb:355-epub-455185
Dokumenten-ID45518

Bibliographische Daten exportieren

Nur für Besitzer und Autoren: Kontrollseite des Eintrags

nach oben