Quantum Properties of General Gauge Theories With Composite and External Fields

Falkenberg, S.; Geyer, B.; Moshin, P.

doi:10.1142/s0217751x99001792

Int. J. Mod. Phys. A

1999

DOI: 10.1142/s0217751x99001792

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Quantum Properties of General Gauge Theories With Composite and External Fields

S. Falkenberg

B. Geyer

P. Moshin

Abstract: The generating functionals of Green's functions with composite and external fields are considered in the framework of BV and BLT quantization methods for general gauge theories. The corresponding Ward identities are derived and the gauge dependence is investigated.

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2000

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osp(1,2)-covariant Lagrangian quantization of irreducible massive gauge theories with generic background configurations

Geyer

Mülsch²

2000

Nuclear Physics B

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In the framework of the osp(1, 2)-symmetric quantization of irreducible massive gauge theories the background field method is studied for the simplest case of a linear splitting of the gauge field into a background configuration A i and the quantum fluctuations Q i . The entire set of symmetries of that approach, including three types of background-dependent gauge transformations, is expressed by the corresponding set of Ward identities. Making use of these identities, together with the equation of motion of the auxiliary field, the background dependence of the generating functionals of the 1PI vertex functions and the Green's functions is completely determined by the dependence of these functionals upon the gauge fields and the associated antifields. It is proven that the introduction of a background field does not change the ultraviolet asymptotics of the theory. *

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osp(1,2)-covariant Lagrangian quantization of irreducible massive gauge theories with generic background configurations

Geyer

Mülsch²

2000

Nuclear Physics B

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Quantum Properties of General Gauge Theories With Composite and External Fields

Abstract: The generating functionals of Green's functions with composite and external fields are considered in the framework of BV and BLT quantization methods for general gauge theories. The corresponding Ward identities are derived and the gauge dependence is investigated.

Cited by 1 publication

References 21 publications

osp(1,2)-covariant Lagrangian quantization of irreducible massive gauge theories with generic background configurations

osp(1,2)-covariant Lagrangian quantization of irreducible massive gauge theories with generic background configurations

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