Ill-posedness of the Thirring model below the critical regularity

Sigmund Selberg; Achenef Tesfahun

doi:10.1063/1.5124096

Ill-posedness of the Thirring model below the critical regularity

Journal of Mathematical Physics ◽

10.1063/1.5124096 ◽

2020 ◽

Vol 61 (7) ◽

pp. 071504

Author(s):

Sigmund Selberg ◽

Achenef Tesfahun

Keyword(s):

Thirring Model ◽

Critical Regularity

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A local and integrable lattice regularization of the massive Thirring model

Nuclear Physics B ◽

10.1016/0550-3213(95)00496-f ◽

1995 ◽

Vol 455 (3) ◽

pp. 759-782 ◽

Cited By ~ 14

Author(s):

C. Destri ◽

T. Segalini

Keyword(s):

Thirring Model ◽

Massive Thirring Model ◽

Integrable Lattice ◽

Lattice Regularization

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Numerical Analysis of Thirring Model under White Noise

Journal of Physics Conference Series ◽

10.1088/1742-6596/633/1/012022 ◽

2015 ◽

Vol 633 ◽

pp. 012022 ◽

Cited By ~ 1

Author(s):

Fatma Aydogmus ◽

Eren Tosyali

Keyword(s):

Numerical Analysis ◽

White Noise ◽

Thirring Model

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Bosonization of the Extended Thirring Model with SU(2) Symmetry in the Minkowski Path Integral Formulation

Progress of Theoretical Physics ◽

10.1143/ptp.105.1007 ◽

2001 ◽

Vol 105 (6) ◽

pp. 1007-1016

Author(s):

J. Sakamoto ◽

a. K. Miyake

Keyword(s):

Path Integral ◽

Thirring Model ◽

Integral Formulation ◽

Path Integral Formulation

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Particle number conservation in the massive thirring model

Physics Letters B ◽

10.1016/0370-2693(76)90048-4 ◽

1976 ◽

Vol 62 (1) ◽

pp. 63-64 ◽

Cited By ~ 12

Author(s):

B. Berg ◽

M. Karowski ◽

H.-J. Thun

Keyword(s):

Particle Number ◽

Thirring Model ◽

Massive Thirring Model ◽

Number Conservation ◽

Particle Number Conservation

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Statistical mechanics of one-dimensional xyz spin chain, massive thirring model and quantum sine-Gordon system

Journal of Magnetism and Magnetic Materials ◽

10.1016/0304-8853(83)90871-5 ◽

1983 ◽

Vol 31-34 ◽

pp. 1221-1222 ◽

Cited By ~ 4

Author(s):

M. Imada ◽

K. Hida ◽

M. Ishikawa

Keyword(s):

Statistical Mechanics ◽

Spin Chain ◽

Thirring Model ◽

One Dimensional ◽

Massive Thirring Model

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The reality symmetry in the Thirring model

Il Nuovo Cimento A ◽

10.1007/bf02785668 ◽

1976 ◽

Vol 34 (4) ◽

pp. 639-646

Author(s):

M. Hortaçsu

Keyword(s):

Thirring Model

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Method for Solving the Massive Thirring Model

Physical Review Letters ◽

10.1103/physrevlett.42.135 ◽

1979 ◽

Vol 42 (3) ◽

pp. 135-138 ◽

Cited By ~ 75

Author(s):

H. Bergknoff ◽

H. B. Thacker

Keyword(s):

Thirring Model ◽

Massive Thirring Model

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FUNCTIONAL INTEGRALS AND PHASE STRUCTURES IN SINE-GORDON–THIRRING MODEL

Modern Physics Letters B ◽

10.1142/s0217984912501783 ◽

2012 ◽

Vol 26 (27) ◽

pp. 1250178 ◽

Cited By ~ 3

Author(s):

JUN YAN

Keyword(s):

Strong Coupling ◽

Finite Temperature ◽

Thirring Model ◽

Attractive Potential ◽

Functional Integrals ◽

One Dimensional ◽

Phase Structures ◽

Coexistence Phase ◽

Coupling Case ◽

The Stability

The phase structures of one-dimensional quantum sine-Gordon–Thirring model with N-impurities coupling are studied in this paper. The effective actions at finite temperature are derived by means of the perturbation and non-perturbation functional integrals method. The stability of coexistence phase is analyzed respectively in the weak and strong coupling case. It is shown that the coexistence phase is not stable when fermions have an attractive potential g < 0, and the stable coexistence phase can form when fermions have an exclude potential g > 0.

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