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The gauge technique

journal contribution
posted on 2023-05-18, 05:03 authored by Robert DelbourgoRobert Delbourgo
The gauge technique is a procedure whereby the Ward identities of a gauge theory are exatly solved to provide the longitudinal components of the Green's functions as functionals of the pure charged-line amplitudes. In quantum electrodinamics, for instance, the two-electron multiphoton amplitudes are determined by the electron propagator, which can itself be found via the Dyson-Schwinger equations: thus the procedure is gauge covariant and self-consistent. In this manner one readily obtains the infra-red properties of the amplitudes both for relativistic and nonrelativistic (axial) gauge-fixing schemes. The transverse components of the amplitudes are generated iteratively via the skeleton expansion using the gauge-covariant vertices and propagators determined by the gauge technique. As the method is nonperturbative, the prospect of applying it to the infra-red behaviour in chromodynamics looks promising.

History

Publication title

Il Nuovo Cimento A

Volume

49

Issue

4

Pagination

484-496

ISSN

0369-3546

Department/School

School of Natural Sciences

Place of publication

Italy

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the physical sciences

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