Path-integral formulation of backward and umklapp scattering for 1d spinless fermions

dc.creatorFernández, Victoria Inés
dc.creatorNaón, Carlos María
dc.date1999
dc.date2021-08-26T18:28:39Z
dc.date.accessioned2023-07-15T02:41:46Z
dc.date.available2023-07-15T02:41:46Z
dc.identifierhttp://sedici.unlp.edu.ar/handle/10915/123583
dc.identifierissn:0040-5779
dc.identifierissn:1573-9333
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7462928
dc.descriptionWe present a (1+1)-dimensional fermionic quantum field theory with nonlocal couplings between currents. This model describes an ensemble of spinless fermions interacting through forward, backward, and UMKLAPP scattering processes. We express the vacuum-to-vacuum functional in terms of a nontrivial fermionic determinant. Using path-integral methods, we find a bosonic representation for this determinant and an effective action depending on three scalar fields, of which two correspond to the physical collective excitations and one is an auxiliary field, which can be integrated out using an approximation technique.
dc.descriptionFacultad de Ciencias Exactas
dc.formatapplication/pdf
dc.format385-391
dc.languageen
dc.rightshttp://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rightsCreative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.subjectFísica
dc.subjectEffective action
dc.subjectQuantum field theory
dc.subjectPhysics
dc.subjectPath integral formulation
dc.subjectUmklapp scattering
dc.subjectBosonization
dc.subjectScalar (physics)
dc.subjectFermion
dc.subjectPartition function (statistical mechanics)
dc.subjectQuantum mechanics
dc.subjectQuasiparticle
dc.subjectPath integral formulation
dc.subjectUmklapp scattering
dc.subjectAuxiliary field
dc.subjectQuantum electrodynamics
dc.subjectRepresentation (mathematics)
dc.titlePath-integral formulation of backward and umklapp scattering for 1d spinless fermions
dc.typeArticulo
dc.typePreprint


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