Massive vector mesons with gauge-invariant Lagrangian

1971 ◽  
Vol 5 (2) ◽  
pp. 305-314 ◽  
Author(s):  
S. Heskia
Keyword(s):  
Vector Mesons ◽  
Gauge Invariant ◽  
Massive Vector

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 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.

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

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 Massive vector mesons and gauge theory

2000 ◽  
Vol 33 (23) ◽  
pp. 4317-4356 ◽  
Author(s):  
Michael Dütsch ◽  
Bert Schroer
Keyword(s):  
Gauge Theory ◽  
Vector Mesons ◽  
Massive Vector

scholarly journals Gauge invariant composite fields out of connections, with examples

2014 ◽  
Vol 11 (03) ◽  
pp. 1450016 ◽  
Author(s):  
C. Fournel ◽  
J. François ◽  
S. Lazzarini ◽  
T. Masson
Keyword(s):  
Field Theory ◽  
Particle Physics ◽  
Vector Fields ◽  
Gauge Field Theory ◽  
Gauge Invariant ◽  
Massive Vector ◽  
Valued Field ◽  
The Standard Model ◽  
Breaking Mechanism ◽  
New Situation

In this paper, we put forward a systematic and unifying approach to construct gauge invariant composite fields out of connections. It relies on the existence in the theory of a group-valued field with a prescribed gauge transformation. As an illustration, we detail some examples. Two of them are based on known results: the first one provides a reinterpretation of the symmetry breaking mechanism of the electroweak part of the Standard Model of particle physics; the second one is an application to Einstein's theory of gravity described as a gauge theory in terms of Cartan connections. The last example depicts a new situation: starting with a gauge field theory on Atiyah Lie algebroids, the gauge invariant composite fields describe massive vector fields. Some mathematical and physical discussions illustrate and highlight the relevance and the generality of this approach.

Low-energy theorems for massive vector mesons

1972 ◽  
Vol 5 (3) ◽  
pp. 276-280
Author(s):  
G. Fiorenrini
Keyword(s):  
Low Energy ◽  
Vector Mesons ◽  
Massive Vector

scholarly journals ON THE TENSOR FORMULATION OF EFFECTIVE VECTOR LAGRANGIANS AND DUALITY TRANSFORMATIONS

1996 ◽  
Vol 11 (13) ◽  
pp. 1069-1080 ◽  
Author(s):  
JOHAN BIJNENS ◽  
ELISABETTA PALLANTE
Keyword(s):  
Vector Field ◽  
Tensor Field ◽  
Axial Vector ◽  
Antisymmetric Tensor ◽  
Vector Mesons ◽  
Massive Vector ◽  
Duality Transformations ◽  
Effective Lagrangian ◽  
Antisymmetric Tensor Field ◽  
Tensor Formulation

Using two different methods inspired by duality transformations we present the equivalence between effective Lagrangians for massive vector mesons using a vector field and an antisymmetric tensor field. This completes the list of explicit field transformations between the various effective Lagrangian methods to describe massive vector and axial vector mesons. Our method automatically generates the point-like terms needed for off-shell equivalence.

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