scholarly journals Two-loop application of the Breitenlohner-Maison/’t Hooft-Veltman scheme with non-anticommuting γ5: full renormalization and symmetry-restoring counterterms in an abelian chiral gauge theory

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Hermès Bélusca-Maïto ◽  
Amon Ilakovac ◽  
Paul Kühler ◽  
Marija Mador-Božinović ◽  
Dominik Stöckinger
Keyword(s):  
Gauge Theory ◽  
Gauge Theories ◽  
Action Principle ◽  
Ward Identities ◽  
Simple Interpretation ◽  
Loop Level ◽  
Full Structure ◽  
Quantum Action ◽  
The One ◽  
Quantum Action Principle

Abstract We apply the BMHV scheme for non-anticommuting γ5 to an abelian chiral gauge theory at the two-loop level. As our main result, we determine the full structure of symmetry-restoring counterterms up to the two-loop level. These counterterms turn out to have the same structure as at the one-loop level and a simple interpretation in terms of restoration of well-known Ward identities. In addition, we show that the ultraviolet divergences cannot be canceled completely by counterterms generated by field and parameter renormalization, and we determine needed UV divergent evanescent counterterms. The paper establishes the two-loop methodology based on the quantum action principle and direct computations of Slavnov-Taylor identity breakings. The same method will be applicable to nonabelian gauge theories.

scholarly journals REMOVAL OF VIOLATIONS OF THE MASTER WARD IDENTITY IN PERTURBATIVE QFT

2008 ◽  
Vol 20 (02) ◽  
pp. 119-172 ◽  
Author(s):  
FERDINAND BRENNECKE ◽  
MICHAEL DÜTSCH
Keyword(s):  
Scalar Field ◽  
Ward Identity ◽  
Field Model ◽  
Action Principle ◽  
Renormalization Condition ◽  
Ward Identities ◽  
Scalar Field Model ◽  
Quantum Action ◽  
Field Formalism ◽  
Quantum Action Principle

We study the appearance of anomalies of the Master Ward Identity, which is a universal renormalization condition in perturbative QFT. The main insight of the present paper is that any violation of the Master Ward Identity can be expressed as a local interacting field; this is a version of the well-known Quantum Action Principle of Lowenstein and Lam. Proceeding in a proper field formalism by induction on the order in ħ, this knowledge about the structure of possible anomalies as well as techniques of algebraic renormalization are used to remove possible anomalies by finite renormalizations. As an example, the method is applied to prove the Ward identities of the O(N) scalar field model.

Quantum action principle and base operators for bosons and fermions

2005 ◽  
Vol 626 (1-4) ◽  
pp. 256-261
Author(s):  
L.D. Swift ◽  
Z.E. Musielak ◽  
J.L. Fry
Keyword(s):  
Action Principle ◽  
Quantum Action ◽  
Quantum Action Principle

Subspace quantum dynamics and the quantum action principle

1978 ◽  
Vol 68 (8) ◽  
pp. 3680-3691 ◽  
Author(s):  
Richard F. W. Bader ◽  
Shalom Srebrenik ◽  
T. Tung Nguyen‐Dang
Keyword(s):  
Quantum Dynamics ◽  
Action Principle ◽  
Quantum Action ◽  
Quantum Action Principle

1997 Polanyi Award Lecture Why are there atoms in chemistry?

1998 ◽  
Vol 76 (7) ◽  
pp. 973-988 ◽  
Author(s):  
RFW Bader
Keyword(s):  
Open Systems ◽  
Real Space ◽  
Action Principle ◽  
Nuclear Model ◽  
Chemical Information ◽  
Density Distributions ◽  
Atomic Hypothesis ◽  
Quantum Action ◽  
Definition Of ◽  
Quantum Action Principle

Dalton made a bold assumption in his atomic hypothesis by stating that atoms retained their mass and their identity in chemical combination. Its vindication had to await Rutherford's nuclear model of the atom. The continuing evolution of chemistry led to the realization that atoms exhibit not only a unique mass but also characteristic additive properties, thereby making it possible to recognize their presence in a molecule and to predict the molecule's static and reactive properties. The theoretical vindication of the model of a functional group as the carrier of chemical information had to await the work of Feynman and Schwinger. Their generalization of physics leads to a unique definition of an atom as an open quantum system and makes possible the renormalization that is required to account for the short-range nature of the forces that enable one to identify a given group in any environment. The lecture will demonstrate that the proper open systems predicted by the quantum action principle define the atom and that this definition accounts for the retention of an atom's chemical identity by enabling one to replace the quantum mechanical observables for force and energy with dressed, real space density distributions whose forms parallel the transferable topology of the electron density distribution.Key words: atom, action principle, atoms in molecules, functional groups.

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