Ward identities and the retrieval of Green’s functions in the correlations of a diffuse field

We consider generating functionals of Green's functions with external fields in the framework of BV and BLT quantization schemes for general gauge theories. The corresponding Ward identities are obtained, and the gauge dependence is studied.

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NONPERTURBATIVE GREEN'S FUNCTIONS IN THEORIES WITH EXTENDED SUPERCONFORMAL SYMMETRY

International Journal of Modern Physics A ◽

10.1142/s0217751x99001330 ◽

1999 ◽

Vol 14 (17) ◽

pp. 2659-2674 ◽

Cited By ~ 25

Author(s):

PAUL HOWE ◽

PETER WEST

Keyword(s):

Green's Functions ◽

Green’S Functions ◽

Harmonic Superspace ◽

Ward Identities ◽

Gauge Invariant ◽

Superconformal Symmetry ◽

Supersymmetric Theories ◽

Chiral Superfields

The multiplets that occur in four-dimensional rigidly supersymmetric theories can be described either by chiral superfields in Minkowski superspace or analytic superfields in harmonic superspace. The superconformal Ward identities for Green's functions of gauge-invariant operators of these types are derived. It is shown that there are no chiral superconformal invariants. It is further shown that Green's functions of analytic operators in harmonic superspace are severely restricted by the superconformal Ward identities when internal analyticity is taken into account.

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Ward and Nielsen identities for ABJM theory in 𝒩 = 1 superspace

International Journal of Modern Physics A ◽

10.1142/s0217751x16501128 ◽

2016 ◽

Vol 31 (19) ◽

pp. 1650112 ◽

Cited By ~ 3

Author(s):

Sudhaker Upadhyay

Keyword(s):

Green's Functions ◽

Green’S Functions ◽

Quantum Level ◽

Brst Transformation ◽

Ward Identities ◽

Abjm Theory ◽

Gauge Algebra

The structures and the associated gauge algebra of ABJM theory in [Formula: see text] superspace are reviewed. We derive the Ward identities of the theory in the class of Lorentz-type gauges at quantum level to justify the renormalizability of the model. We compute the Nielsen identities for the two-point functions of the theory with the help of enlarged BRST transformation. The identities are derived in ABJM theory to ensure the gauge independence of the physical poles of the Green’s functions.

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A PROPOSAL FOR A GENERALIZED CANONICAL osp(1, 2) QUANTIZATION OF DYNAMICAL SYSTEMS WITH CONSTRAINTS

Modern Physics Letters A ◽

10.1142/s0217732399000626 ◽

1999 ◽

Vol 14 (08n09) ◽

pp. 569-574

Author(s):

PETR M. LAVROV ◽

JORGE ANANIAS NETO ◽

WILSON OLIVEIRA

Keyword(s):

Dynamical Systems ◽

Green's Functions ◽

Green’S Functions ◽

Canonical Quantization ◽

Quantization Method ◽

Ward Identities ◽

Gauge Dependence ◽

S Matrix

The aim of this letter is to consider the possibility of constructing a generalized canonical quantization method for arbitrary dynamical systems with first-class constraints based on the osp (1, 2) supersymmetry principle. This proposal can be considered as a counterpart to the osp (1, 2)-covariant Lagrangian quantization method introduced recently by Geyer, Lavrov and Mülsch. The gauge dependence of Green's functions is studied. It is shown that if the parameter m2 of the osp (1, 2) superalgebra is not equal to zero, then the vacuum functional and S-matrix depend on the gauge. In the limit m→0 the gauge independence of vacuum functional and S-matrix are restored. The Ward identities related to the osp (1, 2) symmetry are derived.

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