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dc.contributor.author
Aguilera Damia, Jeremías
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Solís Delgadillo, Juan Mario
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Torroba, Gonzalo
dc.date.available
2024-04-04T10:55:26Z
dc.date.issued
2023-12
dc.identifier.citation
Aguilera Damia, Jeremías; Solís Delgadillo, Juan Mario; Torroba, Gonzalo; Nonrelativistic Dirac fermions on the torus; Springer; Journal of High Energy Physics; 2023; 12; 12-2023; 1-21
dc.identifier.issn
1029-8479
dc.identifier.uri
http://hdl.handle.net/11336/231858
dc.description.abstract
Two dimensional conformal feld theories have been extensively studied in the past. When considered on the torus, they are strongly constrained by modular invariance. However, introducing relevant deformations or chemical potentials pushes these theories away from criticality, where many of their aspects are still poorly understood. In this note we make a step towards filling this gap, by analyzing the theory of a Dirac fermion on the torus, deformed by a mass term and a chemical potential for the particle number symmetry. The theory breaks conformal and Lorentz invariance, and we study its spectrum and partition function. We also focus on two limits that are interesting on their own right: a massless relativistic fermion with nonzero chemical potential (a simple model for CFTs at finite density), and nonrelativistic Schrodinger fermions (of relevance in condensed matter systems). Taking inspiration from recent developments in massive modular forms, we obtain a representation of the torus free energy based on Fourier-transforming over a twisted boundary condition. This dual representation fullfills many properties analogous to modular invariance in CFTs. In particular, we use this result to derive Cardy-like formulas for the high energy density of states of these theories.
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application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by/2.5/ar/
dc.subject
NONRELATIVISTIC
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FERMIONS
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FINITE DENSITY
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MODULAR
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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
Nonrelativistic Dirac fermions on the torus
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-03-26T15:27:44Z
dc.journal.volume
2023
dc.journal.number
12
dc.journal.pagination
1-21
dc.journal.pais
Alemania
dc.journal.ciudad
Berlín
dc.description.fil
Fil: Aguilera Damia, Jeremías. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Université Libre de Bruxelles; Bélgica
dc.description.fil
Fil: Solís Delgadillo, Juan Mario. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
dc.description.fil
Fil: Torroba, Gonzalo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
dc.journal.title
Journal of High Energy Physics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/JHEP12(2023)060
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/JHEP12(2023)060
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