Equivalence of Sine-Gordon and the Thirring Model and Cumulative Mass Effects
May, 197625 pages
Published in:
- Phys.Rev.D 15 (1977) 1684
Report number:
- FUB/HEP 76/6
Citations per year
Abstract: (APS)
We investigate the equivalence of the sine-Gordon and Thirring models on the basis of the short-distance behavior in the massive Thirring model. We find that for dimψ¯ψ≥1 there is a new additive renormalization effect originating from the occurrence of nonleading mass singularities in the spinor vacuum expectation values. In the sine-Gordon language this effect makes its appearance as a "cumulative" mass effect. It leads to a breakdown of the naive variational method.- Thirring model
- sine-Gordon equation
- FIELD THEORY: SHORT-DISTANCE BEHAVIOR
- FIELD THEORETICAL MODEL: MASSIVE
- RENORMALIZATION
- EFFECT: MASS
- MASS: EFFECT
- FIELD THEORY: FERMION
- FIELD THEORY: BOSON
- Dirac equation
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