Quantum field theory on toroidal topology: algebraic structure and applications

DOI10.1016/j.physrep.2014.02.002zbMath1358.81004arXiv1409.1245OpenAlexW3098696054MaRDI QIDQ517437

J. M. C. Malbouisson, A. P. C. Malbouisson, Ademir E. Santana, Faqir C. Khanna

Publication date: 23 March 2017

Published in: Physics Reports (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.1245

zbMATH Keywords

spontaneous symmetry breakingsuperconductivityCasimir effectparticle physicsGross-Neveu modelquantum fieldscompactified extra dimension physicsNambu-Jona-Lasino modelsymmetries and \( c^\ast\)-algebrastoroidal topology

Mathematics Subject Classification ID

Model quantum field theories (81T10) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Symmetry breaking in quantum theory (81R40) Topological field theories in quantum mechanics (81T45) (S)-matrix theory, etc. in quantum theory (81U20) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Thermal quantum field theory (81T28) Casimir effect in quantum field theory (81T55)

Related Items (10)

Vacuum currents in partially compactified Rindler spacetime with an application to cylindrical black holes ⋮ Lorentz symmetry and IR structure of the BFSS matrix model ⋮ Spin-1/2 particles in phase space: Casimir effect and Stefan-Boltzmann law at finite temperature ⋮ Properties of size-dependent models having quasiperiodic boundary conditions ⋮ Finite-size effects on the phase transition in a four- and six-fermion interaction model ⋮ Quantum field theory in phase space ⋮ Some new results for the one-loop mass correction to the compactified λϕ4 theory ⋮ Particle on a torus knot: Anholonomy and Hannay angle ⋮ Boundary effects on constituent quark masses and on chiral susceptibility in a four-fermion interaction model ⋮ Casimir effect and Stefan–Boltzmann law in Yang–Mills theory at finite temperature

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