Thirring model with u(n) symmetry - scale invariant only for fixed values of a coupling constant - INSPIRE

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Thirring model with u(n) symmetry - scale invariant only for fixed values of a coupling constant

1973

4 pages

Published in:

Phys.Lett.B 46 (1973) 439-442

Published: 1973

DOI:

10.1016/0370-2693(73)90161-5

View in:

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Abstract: (Elsevier)

Generalizations of the Thirring model to Fermi fields with U( n ) symmetry are treated. When interactions quadratic in the SU( n ) currents are introduced, scale invariance (with anomalous dimensions) is maintained only for values of the coupling g v =0 or g v = 4φ (n+1) .

model: field theory
symmetry: u(n)
scaling
coupling constant
light cone behavior
spinor

References(9)

Figures(0)

[1]

A Soluble relativistic field theory?

Walter E. Thirring
(
- Washington U., Seattle
)

- Annals Phys. 3 (1958) 91-112,
•
DOI:
- 10.1016/0003-4916(58)90015-0

[2]

Thirring model in terms of currents: Solution and light cone expansions

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•
DOI:
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[3]

Nonlagrangian models of current algebra

Kenneth G. Wilson
(
- Cornell U., LNS
)

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•
DOI:
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[4]

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Y. Frishman

[5]

Solvable Two-Dimensional Field Theory Based on Currents

C.G. Callan
(
- Harvard U.
)
,
R.F. Dashen
(
- Princeton, Inst. Advanced Study
)
,
D.H. Sharp
(
- Pennsylvania U.
)

- Phys.Rev. 165 (1968) 1883-1886
•
DOI:
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[6]

B. Klaiber

- Lectures in Theoretical Physics Vol.XA (1968) 141

[7]

Fermion avatars of the sugawara model

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•
DOI:
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[8]

For demonstration of these facts see to be published

R. Dashen
,
Y. Frishman

[9]

PCT , spin and statistics, and all that

R.F. Streater
,
A.S. Wightman