Thirring Model
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High Quality Content by WIKIPEDIA articles! The Thirring model is an exactly solvable quantum field theory which describes the self-interactions of a Dirac field in two dimension. After it was introduced by Walter Thirring, many authors tried to solve the massless case, with confusing outcomes. The correct formula for the two and four point correlation was finally found by K. Johnson; then Hagen and Klaiber extended the explicit solution to any multipoint correlation function of the fields. Very early people realized a nice relation between Thirring and Sine-Gordon models. Despite the fact…mehr

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High Quality Content by WIKIPEDIA articles! The Thirring model is an exactly solvable quantum field theory which describes the self-interactions of a Dirac field in two dimension. After it was introduced by Walter Thirring, many authors tried to solve the massless case, with confusing outcomes. The correct formula for the two and four point correlation was finally found by K. Johnson; then Hagen and Klaiber extended the explicit solution to any multipoint correlation function of the fields. Very early people realized a nice relation between Thirring and Sine-Gordon models. Despite the fact that the latter is a pure boson model, massless Thirring fermions are equivalent to a free bosons; while massive fermions are equivalent to the Sine-Gordon bosons. This phenomenon is more general in two-dimension and is called bosonization.