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dc.contributor.author
Casini, Horacio German
dc.contributor.author
Magán, Javier M.
dc.contributor.author
Martinez, Pedro Jorge
dc.date.available
2024-01-03T14:55:00Z
dc.date.issued
2022-01
dc.identifier.citation
Casini, Horacio German; Magán, Javier M.; Martinez, Pedro Jorge; Entropic order parameters in weakly coupled gauge theories; Springer; Journal of High Energy Physics; 2022; 1; 1-2022; 1-58
dc.identifier.issn
1029-8479
dc.identifier.uri
http://hdl.handle.net/11336/222292
dc.description.abstract
The entropic order parameters measure in a universal geometric way the statistics of non-local operators responsible for generalized symmetries. In this article, we compute entropic order parameters in weakly coupled gauge theories. To perform this computation, the natural route of evaluating expectation values of physical (smeared) non-local operators is prevented by known difficulties in constructing suitable smeared Wilson loops. We circumvent this problem by studying the smeared non-local class operators in the enlarged non-gauge invariant Hilbert space. This provides a generic approach for smeared operators in gauge theories and explicit formulas at weak coupling. In this approach, the Wilson and ’t Hooft loops are labeled by the full weight and co-weight lattices respectively. We study generic Lie groups and discuss couplings with matter fields. Smeared magnetic operators, as opposed to the usual infinitely thin ones, have expectation values that approach one at weak coupling. The corresponding entropic order parameter saturates to its maximum topological value, except for an exponentially small correction, which we compute. On the other hand, smeared ’t Hooft loops and their entropic disorder parameter are exponentially small. We verify that both behaviors match the certainty relation for the relative entropies. In particular, we find upper and lower bounds (that differ by a factor of 2) for the exact coefficient of the linear perimeter law for thin loops at weak coupling. This coefficient is unphysical/non-universal for line operators. We end with some comments regarding the RG flows of entropic parameters through perturbative beta functions.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
CONFINEMENT
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GAUGE SYMMETRY
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SPONTANEOUS SYMMETRY BREAKING
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WILSON, ’T HOOFT AND POLYAKOV LOOPS
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Física de Partículas y Campos
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Entropic order parameters in weakly coupled gauge theories
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-01-03T11:42:24Z
dc.journal.volume
2022
dc.journal.number
1
dc.journal.pagination
1-58
dc.journal.pais
Italia
dc.description.fil
Fil: Casini, Horacio German. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro | Universidad Nacional de Cuyo. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
dc.description.fil
Fil: Magán, Javier M.. University of Pennsylvania; Estados Unidos. Vrije Unviversiteit Brussel; Bélgica
dc.description.fil
Fil: Martinez, Pedro Jorge. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro | Universidad Nacional de Cuyo. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
dc.journal.title
Journal of High Energy Physics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/JHEP01(2022)079
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