Hamiltonian formulation of the Freedman–Townsend model of massive vector mesons

1991 ◽  
Vol 69 (5) ◽  
pp. 569-572 ◽  
Author(s):  
D. G. C. McKeon
Keyword(s):  
Effective Action ◽  
Invariant Theory ◽  
Hamiltonian Formulation ◽  
Power Counting ◽  
Constrained Systems ◽  
Vector Mesons ◽  
Gauge Invariant ◽  
Massive Vector ◽  
Hamiltonian Theory

A gauge invariant theory of massive vector mesons, formulated by Freedman and Townsend, is quantized using the Hamiltonian theory for reducible constrained systems of Batalin, Fradkin, and Vilkovisky. The effective action is Lorentz covariant in the gauge in which we work. All propagators have an ultraviolet behaviour that is consistent with power-counting renormalizability. We take this formulation of the Freedman–Townsend model to be consistent with unitarity.

scholarly journals LAGRANGIAN APPROACH OF THE FIRST-CLASS CONSTRAINED SYSTEMS

1998 ◽  
Vol 13 (33) ◽  
pp. 2653-2663 ◽  
Author(s):  
YONG-WAN KIM ◽  
YOUNG-JAI PARK ◽  
SEUNG-KOOK KIM
Keyword(s):  
Hamiltonian Formulation ◽  
Constrained Systems ◽  
Lagrangian Approach ◽  
Lagrangian Formalism ◽  
Exact Form ◽  
Gauge Invariant ◽  
Symmetry Transformations ◽  
Local Symmetries

We show how to systematically derive the exact form of local symmetries for the Abelian Proca and CS models, which are converted into first-class constrained systems by the BFT formalism, in the Lagrangian formalism. As a result, without resorting to a Hamiltonian formulation we obtain the well-known U(1) symmetry for the gauge-invariant Proca model, while showing that for the CS model there exist novel symmetries as well as the usual symmetry transformations.

To Restore the Broken Symmetry in the Nonconfining Schwinger Model

1997 ◽  
Vol 12 (31) ◽  
pp. 5625-5637 ◽  
Author(s):  
Anisur Rahaman
Keyword(s):  
Phase Space ◽  
Gauge Symmetry ◽  
Effective Action ◽  
Invariant Theory ◽  
Broken Symmetry ◽  
Quantum Mechanical ◽  
Gauge Invariant ◽  
Schwinger Model ◽  
Proper Extension

A new generalization of the vector Schwinger model is considered where gauge symmetry is broken at the quantum mechanical level. By proper extension of the phase space this broken symmetry has been restored in two different ways. One of these two leads to a BRST-invariant effective action. An equivalent gauge-invariant theory is reformulated even in the usual phase space also.

scholarly journals QUANTIZATION OF THE FREEDMAN–TOWNSEND MODEL OF MASSIVE VECTOR MESONS

1991 ◽  
Vol 06 (36) ◽  
pp. 3359-3363 ◽  
Author(s):  
M. LEBLANC ◽  
D. G. C. McKEON ◽  
A. REBHAN ◽  
T. N. SHERRY
Keyword(s):  
Vector Fields ◽  
Symmetric Tensor ◽  
Vector Mesons ◽  
Tensor Fields ◽  
Gauge Invariant ◽  
Massive Vector ◽  
Four Dimensions ◽  
Vector Gauge ◽  
Invariant Coupling ◽  
The Masses

We examine a model for massive vector mesons in four dimensions proposed by Freedman and Townsend, where the masses for non-Abelian vector gauge fields are generated without symmetry breaking through a gauge invariant coupling to anti-symmetric tensor fields. The model is quantized using the formalism of Batalin and Vilkovisky. While the Abelian version immediately gives a renormalizable model for massive vector fields, it is shown that in the non-Abelian case the addition of an extra gauge invariant term in the initial Lagrangian leads to an ultraviolet behavior consistent with power-counting renormalizability.

The Standard Theory

2017 ◽  
Author(s):  
John Iliopoulos
Keyword(s):  
Gauge Theory ◽  
Invariant Theory ◽  
Standard Theory ◽  
Strong Interactions ◽  
Gauge Invariant ◽  
Electromagnetic Interactions ◽  
Protons And Neutrons ◽  
Free Particles ◽  
Theoretical Predictions ◽  
Theory And Experiment

All ingredients of the previous chapters are combined in order to build a gauge invariant theory of the interactions among the elementary particles. We start with a unified model of the weak and the electromagnetic interactions. The gauge symmetry is spontaneously broken through the BEH mechanism and we identify the resulting BEH boson. Then we describe the theory known as quantum chromodynamics (QCD), a gauge theory of the strong interactions. We present the property of confinement which explains why the quarks and the gluons cannot be extracted out of the protons and neutrons to form free particles. The last section contains a comparison of the theoretical predictions based on this theory with the experimental results. The agreement between theory and experiment is spectacular.

scholarly journals Spin-vorticity coupling for massive vector mesons

2020 ◽  
Vol 102 (12) ◽  
Author(s):  
Joseph I. Kapusta ◽  
Ermal Rrapaj ◽  
Serge Rudaz
Keyword(s):  
Vector Mesons ◽  
Massive Vector

TREE DIAGRAMS IN WITTEN’S SUPERSTRING FIELD THEORY

1989 ◽  
Vol 04 (21) ◽  
pp. 2063-2071
Author(s):  
GEORGE SIOPSIS
Keyword(s):  
Field Theory ◽  
Scattering Amplitudes ◽  
Invariant Theory ◽  
Higher Order ◽  
Contact Term ◽  
Tree Level ◽  
Gauge Invariant

It is shown that the contact term discovered by Wendt is sufficient to ensure finiteness of all tree-level scattering amplitudes in Witten’s field theory of open superstrings. Its inclusion in the action also leads to a gauge-invariant theory. Thus, no additional higher-order counterterms in the action are needed.

scholarly journals REMARKS ON A CHERN–SIMONS-LIKE COUPLING

2011 ◽  
Vol 26 (37) ◽  
pp. 2813-2821
Author(s):  
PATRICIO GAETE
Keyword(s):  
Gauge Theory ◽  
Vector Field ◽  
Static Potential ◽  
Gauge Invariant ◽  
Massive Vector ◽  
Hidden Sector ◽  
Dependent Variables ◽  
Qualitative Nature ◽  
Path Dependent ◽  
Chern Simons

We consider the static quantum potential for a gauge theory which includes a light massive vector field interacting with the familiar U (1) QED photon via a Chern–Simons-like coupling, by using the gauge-invariant, but path-dependent, variables formalism. An exactly screening phase is then obtained, which displays a marked departure of a qualitative nature from massive axionic electrodynamics. The above static potential profile is similar to that encountered in axionic electrodynamics consisting of a massless axion-like field, as well as to that encountered in the coupling between the familiar U (1) QED photon and a second massive gauge field living in the so-called U (1)h hidden-sector, inside a superconducting box.

scholarly journals Form factor decompositions of the QCD four - gluon vertex

2018 ◽  
Vol 182 ◽  
pp. 02114 ◽  
Author(s):  
Naser Ahmadiniaz ◽  
Christian Schubert
Keyword(s):  
Field Theory ◽  
Form Factor ◽  
Effective Action ◽  
The Other ◽  
Integration By Parts ◽  
Ward Identities ◽  
Gauge Invariant ◽  
Gluon Vertex ◽  
Invariant Structures ◽  
String Amplitudes

The Bern-Kosower formalism, originally developed around 1990 as a novel way of obtaining on-shell amplitudes in field theory as limits of string amplitudes, has recently been shown to be extremely effcient as a tool for obtaining form factor decompositions of the N - gluon vertices. Its main advantages are that gauge invariant structures can be generated by certain systematic integration-by-parts procedures, making unnecessary the usual tedious analysis of the non-abelian off-shell Ward identities, and that the scalar, spinor and gluon loop cases can be treated in a unified way. After discussing the method in general for the N - gluon case, I will show in detail how to rederive the Ball- Chiu decomposition of the three - gluon vertex, and finally present two slightly different decompositions of the four - gluon vertex, one generalizing the Ball Chiu one, the other one closely linked to the QCD effective action.

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