More about the massive Schwinger model

Journal Article · Fri Sep 24 00:00:00 EDT 1976 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(76)90280-3· OSTI ID:7241755

Coleman, S

The massive Schwinger model is quantum electrodynamics of a Dirac particle of mass m and charge e in 1+1 dimensions. It is known that the physics of the model depends on an arbitrary parameter independent of e and m, an angle, THETA,*THETA*< or =..pi... A physical explanation of this angle is given, why corresponding parameter does not appear in (3+1) -dimensional electrodynamics is explained. Some quantitative properties of the theory are computed for both weak coupling, e<<>>m, and a qualitative description is given of the model that interpolates smoothly between weak and strong coupling. A typical quantitative result is that for weak coupling and *THETA*not-equal..pi.., the number of stable particles in the theory is 4m/sup 2//..pi..e/sup 2/ 1/(1--THETA/sup 2//..pi../sup 2/)(2..sqrt..3--1n(2+..sqrt..3)+O (1). Similar computations are done for a generalization of the model with ''flavor SU (2),'' i.e., with two fermions of equal charge and mass. For weak coupling the results are very much like those for the massive Schwinger model, but for strong coupling there are some surprising differences. (AIP)

• Research Organization: Lyman Laboratory of Physics, Harvard University Cambridge, Massachusetts 02138
• OSTI ID: 7241755
• Journal Information: Ann. Phys. (N.Y.); (United States), Vol. 101:1
• Country of Publication: United States
• Language: English

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