Fermion condensates and the trivial vacuum of light-cone quantum field theory

Heinzl, Thomas (1996) Fermion condensates and the trivial vacuum of light-cone quantum field theory. PHYSICS LETTERS B, 388 (1). pp. 129-136. ISSN 0370-2693, 1873-2445

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Abstract

We discuss the definition of condensates within light-cone quantum field theory. As the vacuum state in this formulation is trivial, we suggest to abstract vacuum properties from the particle spectrum. The latter can in principle be calculated by solving the eigenvalue problem of the light-cone Hamiltonian. We focus on fermionic condensates which are order parameters of chiral symmetry breaking. As a paradigm identity we use the Gell-Mann-Oakes-Renner relation between the quark condensate and the observable pion mass. We examine the analogues of this relation in the 't Hooft and Schwinger model, respectively. A brief discussion of the Nambu-Jona-Lasinio model is added.

Item Type: Article
Uncontrolled Keywords: MASSIVE SCHWINGER MODEL; TAMM-DANCOFF APPROXIMATION; JONA-LASINIO MODEL; ONE TIME DIMENSION; QUARK CONFINEMENT; CHIRAL SYMMETRY; ONE SPACE; QUANTIZATION; LATTICE; NAMBU
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 09 Jun 2023 12:49
Last Modified: 09 Jun 2023 12:49
URI: https://pred.uni-regensburg.de/id/eprint/51350

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