Gauge dependence of matrix elements of the Chern-Simons current <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="italic">K</mi></mrow><mrow><mi mathvariant="normal">μ</mi></mrow></msup></mrow></math></span> in the Schwinger model

Aneesh V. Manohar

doi:10.1103/PhysRevLett.66.1663

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Gauge dependence of matrix elements of the Chern-Simons current $K^{μ}$ in the Schwinger model

Aneesh V. Manohar

Department of Physics 0319, University of California, San Diego, 9500 Gilman Drive, La Jolla, California 92093-0319

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Phys. Rev. Lett. 66, 1663 – Published 1 April, 1991

DOI: https://doi.org/10.1103/PhysRevLett.66.1663

Abstract

The gauge dependence of matrix elements of the Chern-Simons current $K^{μ}$ can be computed exactly in the (1+1)-dimensional Schwinger model. The matrix elements are gauge dependent even in the forward direction, i.e., when the momentum transfer vanishes. The Kogut-Susskind dipole mechanism is derived using functional-integral methods.

References (3)

G. Altarelli and G. G. Ross, Phys. Lett. B 212, 391 (1988).
R. L. Jaffe and A. V. Manohar, Nucl. Phys. B337, 509 (1990).
J. Kogut and L. Susskind, Phys. Rev. D 10, 3468 (1974); ibid. 11, 3594 (1975).

[c1] G. Altarelli and G. G. Ross, Phys. Lett. B 212, 391 (1988).

[c2] R. L. Jaffe and A. V. Manohar, Nucl. Phys. B337, 509 (1990).

[c3] J. Kogut and L. Susskind, Phys. Rev. D 10, 3468 (1974); ibid. 11, 3594 (1975).

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Gauge dependence of matrix elements of the Chern-Simons current $K^{μ}$ in the Schwinger model

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Gauge dependence of matrix elements of the Chern-Simons current Kμ in the Schwinger model

Abstract

References (3)

Gauge dependence of matrix elements of the Chern-Simons current $K^{μ}$ in the Schwinger model