Meson Bound States in Multiflavor Massive Schwinger Model

Sadzikowski, Mariusz; Węgrzyn, Paweł

doi:10.1142/s0217732396001946

Cited by 4 publications

(9 citation statements)

References 15 publications

(23 reference statements)

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“…This exponentiation, equ. (59), is, of course, very important, because it guarantees that physical VEVs do not depend on the space-time volume V and are therefore IR-finite. Therefore, it would be nice if equ.…”

Section: Vacuum Functional and Vacuum Energy Densitymentioning

confidence: 99%

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Massive Schwinger Model within Mass Perturbation Theory

Adam

1997

Annals of Physics

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In this article we give a detailed discussion of the mass perturbation theory of the massive Schwinger model. After discussing some general features and briefly reviewing the exact solution of the massless case, we compute the vacuum energy density of the massive model and some related quantities. We derive the Feynman rules of mass perturbation theory and discuss the exact n-point functions with the help of the Dyson Schwinger equations. Further, we identify the stable and unstable bound states of the theory and compute some bound-state masses and decay widths. Finally we discuss scattering processes, where the resonances and particle production thresholds of the model are properly taken into account by our methods 1997 Academic Press

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Section: Vacuum Functional and Vacuum Energy Densitymentioning

confidence: 99%

“…As usual, in order to compute VEVs for the massive Schwinger model one has to insert the corresponding operators into the path integral (20) and divide by the vacuum functional Z(m, θ) (see (59), ( 60)),…”

Section: The Schwinger Massmentioning

confidence: 99%

Massive Schwinger Model within Mass Perturbation Theory

Adam

1997

Annals of Physics

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“…This is the massive sine-Gordon (MSG) equation [29,31], i.e., bosonized version of (1+1)-dimensional QED. It is the main purpose of the forthcoming analysis to find physically meaningful solutions of Eq.…”

Section: Basic Equationsmentioning

confidence: 99%

“…In this article, we present a simple semiclassical analysis of plasmons in quantum vacuum on the basis of bosonized QED in 1+1 dimensions, i.e., the massive Schwinger model [26][27][28][29][30][31][32][33][34][35]. We describe a technique for calculating the spectra of plasmons and perform some qualitative study of their excitation in (3+1)-dimensional real world.…”

Section: Introductionmentioning

confidence: 99%

Plasmons in QED vacuum

Petrov¹,

Kudrin²

2016

Phys. Rev. A

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The problem of longitudinal oscillations of an electric field and a charge polarization density in QED vacuum is considered. Within the framework of semiclassical analysis, we calculate timeperiodic solutions of bosonized (1+1)-dimensional QED (massive Schwinger model). Applying the Bohr-Sommerfeld quantization condition, we determine the mass spectrum of charge-zero bound states (plasmons) which correspond in quantum theory to the found classical solutions. We show that the existence of such plasmons does not contradict any fundamental physical laws and study qualitatively their excitation in (3+1)-dimensional real world.

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“…The question then can be reformulated: is there a unique, physical value for c? In a recent publication [33], for example, the authors claim that the constant c is dependent on the renormalization scheme used. They do not, however, give this dependence explicitly.…”

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confidence: 99%

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

Heinzl¹

1996

Physics Letters B

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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. a

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Meson Bound States in Multiflavor Massive Schwinger Model

Cited by 4 publications

References 15 publications

Massive Schwinger Model within Mass Perturbation Theory

Massive Schwinger Model within Mass Perturbation Theory

Plasmons in QED vacuum

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

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