Anomalous behavior in the massive Schwinger model

Hosotani, Yutaka; Rodriguez, R.

doi:10.1016/s0370-2693(96)01252-x

Cited by 10 publications

(12 citation statements)

References 27 publications

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“…Our simulations confirmed the known results that for m/g = 0 the quark-antiquark potential is never confining for large Lg and that for m/g = 0 it is only confining if the charge of the heavy probe quarks is noninteger. A similar result has been shown when the system is in thermal equilibrium with a heath bath for m/g = 0 [89] and m/g 1 [90][91][92]. But notice, that a critical temperature was found, above which the string tension is exponentially suppressed with the temperature.…”

Section: Asymptotic Confinementsupporting

confidence: 77%

Hamiltonian simulation of the Schwinger model at finite temperature

2016

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Using Matrix Product Operators (MPO) the Schwinger model is simulated in thermal equilibrium. The variational manifold of gauge-invariant MPO is constructed to represent Gibbs states. As a first application, the chiral condensate in thermal equilibrium is computed and agreement with earlier studies is found. Furthermore, as a new application the Schwinger model is probed with a fractional charged static quark-antiquark pair separated infinitely far from each other. A critical temperature beyond which the string tension is exponentially suppressed is found, and is in qualitative agreement with analytical studies in the strong coupling limit. Finally, the CT symmetry breaking is investigated and our results strongly suggest that the symmetry is restored at any nonzero temperature.

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Section: Asymptotic Confinementsupporting

confidence: 77%

Hamiltonian simulation of the Schwinger model at finite temperature

2016

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“…It may be of interest to apply a perturbation theory [12] to (7.1) when m ≪ µ. Write (7.1) in the form…”

Section: Truncationmentioning

confidence: 99%

“…As noted in ref. [12] there are two possible scenarios. In the full theory the discontinuity may persist, but with a universal m c /µ independent of T /µ.…”

Section: Truncationmentioning

confidence: 99%

“…In a series of papers we have shown how to evaluate chiral condensates and boson mass spectrum for arbitrary values of the θ parameter, fermion masses (m), and temperature (T ) by bosonization. [7,10,11,12] The mass perturbation theory has been formulated in the one-flavor model. [13,14] Investigation in the light-cone quantization method has been pushed forward both on the analytic and numerical sides.…”

Section: Introductionmentioning

confidence: 99%

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Bosonized massiveN-flavour Schwinger model

Hosotani¹,

Rodriguez²

1998

J. Phys. A: Math. Gen.

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The massive N-flavor Schwinger model is analyzed by the bosonization method. The problem is reduced to the quantum mechanics of N degrees of freedom in which the potential needs to be self-consistently determined by its ground-state wave function and spectrum with given values of the θ parameter, fermion masses, and temperature. Boson masses and fermion chiral condensates are evaluated. In the N=1 model the anomalous behavior is found at θ ∼ π and m/µ ∼ 0.4. In the N=3 model an asymmetry in fermion masses (m 1 < m 2 ≪ m 3 ) removes the singularity at θ = π and T = 0. The chiral condensates at θ = 0 are insensitive to the asymmetry in fermion masses, but are significantly sensitive at θ = π. The resultant picture is similar to that obtained in QCD by the chiral Lagrangian method. 2Bosonized Schwinger model

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“…Quite recently, the corrections to the Schwinger mass, as well as the formation of higher bound states and the chiral condensate in the massive Schwinger model, have been studied by a variety of methods. Among these methods are mass perturbation theory [18]- [22], light-front quantization [23]- [28], lattice computations [29]- [34], and a generalized Hartree-Fock approach [35]- [39]. The multi-flavour case has been discussed, e.g., by [37]- [42].…”

Section: Introductionmentioning

confidence: 99%

Schwinger Mass in Renormal-Ordered Chiral Perturbation Theory

Adam

1999

Int. J. Mod. Phys. A

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The massive Schwinger model may be analysed by a perturbation expansion in the fermion mass. However, the results of this mass perturbation theory are sensible only for sufficiently small fermion mass. By performing a renormal-ordering, we arrive at a chiral perturbation expansion where the expansion parameter remains small even for large fermion mass. We use this renormal-ordered chiral perturbation theory for a computation of the Schwinger mass and compare our results with lattice computations. *

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Anomalous behavior in the massive Schwinger model

Cited by 10 publications

References 27 publications

Hamiltonian simulation of the Schwinger model at finite temperature

Hamiltonian simulation of the Schwinger model at finite temperature

Bosonized massiveN-flavour Schwinger model

Schwinger Mass in Renormal-Ordered Chiral Perturbation Theory

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