scholarly journals Gauge-invariant Green’s functions for the bosonic sector of the standard model

2000 ◽  
Vol 62 (3) ◽  
Author(s):  
Andreas Nyffeler ◽  
Andreas Schenk
Keyword(s):  
Standard Model ◽  
Green's Functions ◽  
Green’S Functions ◽  
Gauge Invariant ◽  
The Standard Model

scholarly journals Gell-Mann–Low scheme for the standard model

2015 ◽  
Vol 39 ◽  
pp. 1560084
Author(s):  
Grigorii B. Pivovarov
Keyword(s):  
Standard Model ◽  
Iterative Procedure ◽  
Green's Functions ◽  
Green’S Functions ◽  
The Standard Model ◽  
Input Parameters

I describe a version of the Gell-Mann–Low scheme which is applicable to the Standard Model. First, I give a procedure for extracting input parameters of the theory from the Green’s functions. After that, an iterative procedure of expressing the Green’s functions in terms of the above parameters is given.

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 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.

Anomalies, instantons and axions

2018 ◽  
Author(s):  
Michael Kachelriess
Keyword(s):  
Standard Model ◽  
Path Integral ◽  
Electric Charge ◽  
Gauge Invariant ◽  
Axial Anomaly ◽  
Yang Mills ◽  
Integral Measure ◽  
The Standard Model ◽  
Electroweak Sector

The axial anomaly is derived both from the non-invariance of the path-integral measure under UA(1) transformations and calculations of specific triangle diagrams. It is demonstrated that the anomalous terms are cancelled in the electroweak sector of the standard model, if the electric charge of all fermions adds up to zero. The CP-odd term F̃μν‎Fμν‎ introduced by the axial anomaly is a gauge-invariant renormalisable interaction which is also generated by instanton transitions between Yang–Mills vacua with different winding numbers. The Peceei–Quinn symmetry is discussed as a possible explanation why this term does not contribute to the QCD action.

Green's Functions in Robertson-Walker-Space

1985 ◽  
Vol 40 (1) ◽  
pp. 96-98
Author(s):  
G. Süßmann ◽  
H.-D. Radecke
Keyword(s):  
Standard Model ◽  
Green's Functions ◽  
Wave Equations ◽  
Green’S Functions

The wave equations for the metric of the cosmological standard model and their solutions in form of Green's functions are given.

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.

scholarly journals Gauge-invariant three-boson vertices and their Ward identities in the standard model

1995 ◽  
Vol 52 (4) ◽  
pp. 2355-2378 ◽  
Author(s):  
Joannis Papavassiliou ◽  
Kostas Philippides
Keyword(s):  
Standard Model ◽  
Ward Identities ◽  
Gauge Invariant ◽  
The Standard Model
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