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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.
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Details
| Dokumentenart | Artikel | ||||
| Titel eines Journals oder einer Zeitschrift | Journal of High Energy Physics | ||||
| Verlag: | Springer | ||||
|---|---|---|---|---|---|
| Ort der Veröffentlichung: | NEW YORK | ||||
| Band: | 2018 | ||||
| Nummer des Zeitschriftenheftes oder des Kapitels: | 11 | ||||
| Seitenbereich: | S. 1-36 | ||||
| Datum | 14 November 2018 | ||||
| Institutionen | Physik > Institut für Theoretische Physik | ||||
| Identifikationsnummer |
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| Stichwörter / Keywords | INSTANTONS; MONOPOLES; TOPOLOGY; Confinement; Lattice Quantum Field Theory; Supersymmetric Gauge Theory; Wilson; 't Hooft and Polyakov loops | ||||
| Dewey-Dezimal-Klassifikation | 500 Naturwissenschaften und Mathematik > 530 Physik | ||||
| Status | Veröffentlicht | ||||
| Begutachtet | Ja, diese Version wurde begutachtet | ||||
| An der Universität Regensburg entstanden | Ja | ||||
| URN der UB Regensburg | urn:nbn:de:bvb:355-epub-455185 | ||||
| Dokumenten-ID | 45518 |
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