scholarly journals NONPERTURBATIVE GREEN'S FUNCTIONS IN THEORIES WITH EXTENDED SUPERCONFORMAL SYMMETRY

1999 ◽  
Vol 14 (17) ◽  
pp. 2659-2674 ◽  
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.

Effective Locality QCD calculations and the Gribov copy problem

2020 ◽  
Vol 35 (27) ◽  
pp. 2050230 ◽  
Author(s):  
T. Grandou ◽  
R. Hofmann
Keyword(s):  
Gauge Field ◽  
Strong Coupling ◽  
Degrees Of Freedom ◽  
Green's Functions ◽  
Green’S Functions ◽  
Strong Coupling Limit ◽  
Unexpected Result ◽  
Remarkable Property ◽  
Gauge Invariant

Standard functional manipulations have been proven to imply a remarkable property satisfied by the fermionic Green’s functions of QCD and dubbed effective locality. Resulting from a full gauge invariant summation of the gauge field degrees of freedom, effective locality is a non-perturbative property of QCD. This unexpected result has lead to suspect that the famous Gribov copy problem had been somewhat overlooked. It is argued that it is not so. The analysis is conducted in the strong coupling limit, relevant to the Gribov problem.

scholarly journals ON THE STRUCTURE OF QUANTUM GAUGE THEORIES WITH EXTERNAL FIELDS

1998 ◽  
Vol 13 (23) ◽  
pp. 4077-4089 ◽  
Author(s):  
S. FALKENBERG ◽  
B. GEYER ◽  
P. LAVROV ◽  
P. MOSHIN
Keyword(s):  
Green's Functions ◽  
Gauge Theories ◽  
Green’S Functions ◽  
External Fields ◽  
Ward Identities ◽  
Gauge Dependence ◽  
General Gauge

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.

scholarly journals QCD Effective Locality: A Theoretical and Phenomenological Review

Universe ◽  
2021 ◽  
Vol 7 (12) ◽  
pp. 481
Author(s):  
Herbert M. Fried ◽  
Yves Gabellini ◽  
Thierry Grandou ◽  
Peter H. Tsang
Keyword(s):  
Degrees Of Freedom ◽  
Green's Functions ◽  
Green’S Functions ◽  
Review Article ◽  
Gauge Invariant ◽  
Invariant Integration

About ten years ago, the use of standard functional manipulations was demonstrated to imply an unexpected property satisfied by the fermionic Green’s functions of QCD and dubbed Effective Locality. This feature of QCD is non-perturbative, as it results from a full gauge invariant integration of the gluonic degrees of freedom. In this review article, a few salient theoretical aspects and phenomenological applications of this property are summarized.

scholarly journals AXIAL ANOMALY THROUGH ANALYTIC REGULARIZATION

1999 ◽  
Vol 14 (03) ◽  
pp. 177-183 ◽  
Author(s):  
L. A. MANZONI ◽  
B. M. PIMENTEL ◽  
J. L. TOMAZELLI
Keyword(s):  
Quantum Electrodynamics ◽  
Vacuum Polarization ◽  
Green's Functions ◽  
Green’S Functions ◽  
Gauge Invariant ◽  
Axial Anomaly ◽  
Analytic Regularization ◽  
Correct Implementation

In this work we consider the two-point Green's functions in (1+1)-dimensional quantum electrodynamics and show that the correct implementation of analytic regularization gives a gauge invariant result for the vacuum polarization amplitude and the correct coefficient for the axial anomaly.

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

2016 ◽  
Vol 31 (19) ◽  
pp. 1650112 ◽  
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.

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

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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