Vacuum polarization and the absence of free quarks

Casher, A.; Kogut, John B.; Susskind, Leonard

doi:10.1103/physrevd.10.732

Cited by 333 publications

(252 citation statements)

References 15 publications

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“…3. A quadratic fit in 1/ √ x extracts the continuum limit, which we estimate to be (m/g) c = 0.3335 (2). This is consistent with the previous estimates by Hamer et al [9] of (m/g) c = 0.325(20), or Schiller and Ranft [11], (m/g) c = 0.31(1), but with two orders of magnitude improvement in accuracy.…”

supporting

confidence: 80%

“…Normally, charge is confined in the model: there is a 'string' of constant electric field (or flux) connecting any pair of opposite charges [2,3]. But Coleman [4] points out that in the very special case θ = π, the peculiar phenomenon of "half-asymptotic" particles arises.…”

mentioning

confidence: 99%

“…The Schwinger model [1], or quantum electrodynamics in one space and one time dimension, exhibits many analogies with QCD, including confinement, chiral symmetry breaking, charge shielding, and a topological θ-vacuum [2][3][4]. It is a common test bed for the trial of new techniques for the study of QCD: for instance, several authors have discussed new methods of treating lattice fermions using the Schwinger model as an example [5].…”

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confidence: 99%

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Density matrix renormalisation group approach to the massive Schwinger model

Byrnes

Sriganesh

Bursill

et al. 2002

Nuclear Physics B - Proceedings Supplements

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The massive Schwinger model is studied, using a density matrix renormalization group approach to the staggered lattice Hamiltonian version of the model. Lattice sizes up to 256 sites are calculated, and the estimates in the continuum limit are almost two orders of magnitude more accurate than previous calculations. Coleman's picture of 'half-asymptotic' particles at background field θ = π is confirmed. The predicted phase transition at finite fermion mass (m/g) is accurately located, and demonstrated to belong in the 2D Ising universality class.

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confidence: 80%

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confidence: 99%

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confidence: 99%

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Density matrix renormalisation group approach to the massive Schwinger model

Byrnes

Sriganesh

Bursill

et al. 2002

Nuclear Physics B - Proceedings Supplements

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“…In this context Schwinger model acquired a significant position in lower dimensional field theory [1][2][3][4][5][6][7]. Here photon acquires mass via a kind of dynamical symmetry breaking keeping the gauge symmetry of the model intact.…”

Section: Introductionmentioning

confidence: 99%

Chiral Thirring–Wess model with Faddeevian regularization

Rahaman¹

2015

Annals of Physics

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Replacing vector type of interaction of the Thirring-Wess model by the chiral type a new model is presented which is termed here as chiral Thirring-Wess model. Ambiguity parameters of regularization is so chosen that the model falls into the Faddeevian class. The resulting Faddeevian class of model in general do not possess Lorentz invariance. However we can exploit the arbitrariness admissible in the ambiguity parameters to relate the quantum mechanically generated ambiguity parameters with the classical parameter involved in the masslike term of the gauge field which helps to maintain physical Lorentz invariance instead of the absence of manifestly lorentz covariance of the model. The the phase space structure and the theoretical spectrum of this class of model has been determined through Dirac's method of quantization of constraint system.

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“…This massive field is formed via the chiral anomaly and may be interpreted as a fermion-antifermion bound state ( [6], [5], [10], [9], [19]). Besides, the massless Schwinger model shows other nontrivial features like fermion condensate, instantons and nontrivial vacuum structure (θ vacuum) ( [2]- [5], [7]- [9], [11]- [13], [23]).…”

Section: Introductionmentioning

confidence: 99%