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| DOI | 10.1093/IMRN/RNAC356 | ||||
| Año | 2023 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
In this paper, we obtain bounds on the Wilson loop expectations in 4D U(1) lattice gauge theory, which quantify the effect of topological defects. In the case of a Villain interaction, by extending the non-perturbative technique introduced in [24], we obtain the following estimate for a large loop gamma at low temperatures: |& lang;W-gamma & rang;(beta)| <= exp ( - C-GFF/2 beta(1 + C beta e(-2 pi 2 beta))(|gamma|+o(|gamma|))). Our result is in line with recent works [4, 9, 13, 15] which analyze the case where the gauge group is discrete. In the present case where the gauge group is continuous and Abelian, the fluctuations of the gauge field decouple into a Gaussian part, related to the so-called free electromagnetic wave [11, 23], and a gas of topological defects. As such, our work gives new quantitative bounds on the fluctuations of the latter which complement the works by Guth and Frolich-Spencer [17, 27]. Finally, we improve, also in a non-perturbative way, the correction term from e(-2 pi 2 beta) to e(-pi 2 beta) in the case of the free-energy of the system. This provides a matching lower-bound with the prediction of Guth [27] based on renormalization group techniques.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Garban, Christophe | Hombre |
Univ Claude Bernard Lyon 1 - Francia
Inst Univ France IUF - Francia Institut Camille Jordan - Francia Institut Universitaire de France - Francia |
| 2 | SEPULVEDA-OROSTICA, AQUILES FERNANDO | Hombre |
Universidad de Chile - Chile
Centro de Modelamiento Matemático - Chile |
| Fuente |
|---|
| Fondo Nacional de Desarrollo Científico y Tecnológico |
| European Research Council |
| ERC |
| Agencia Nacional de Investigación y Desarrollo |
| ANID/PIA Apoyo a Centros Cientificos y Tecnologicos de Excelencia |
| FONDECYT iniciacion de investigacion |
| Prix Inspiration Arctique |
| Agradecimiento |
|---|
| We wish to thank Malin Palo Forsstrom for useful discussions as well as two anonymous referees for their very careful reading which greatly helped improving the paper. The research of C.G. is supported by the ERC grant LiKo 676999 and the research of A.S was supported by the ERC grant LiKo 676999 and is now supported by ANID/PIA Apoyo a Centros Cientificos y Tecnologicos de Excelencia AFB 170001 and FONDECYT iniciacion de investigacion No 11200085. |
| We wish to thank Malin Palö Forsström for useful discussions as well as two anonymous referees for their very careful reading which greatly helped improving the paper. The research of C.G. is supported by the ERC grant LiKo 676999 and the research of A.S was supported by the ERC grant LiKo 676999 and is now supported by ANID/PIA Apoyo a Centros Científicos y Tecnológicos de Excelencia AFB 170001 and FONDECYT iniciación de investigación 11200085. |