scholarly journals PATH INTEGRAL QUANTIZATION FOR MASSIVE VECTOR BOSONS

2010 ◽  
Vol 25 (18n19) ◽  
pp. 3603-3619 ◽  
Author(s):  
D. DJUKANOVIC ◽  
J. GEGELIA ◽  
S. SCHERER
Keyword(s):  
Vector Fields ◽  
Consistency Condition ◽  
Canonical Quantization ◽  
Mass Term ◽  
Effective Field ◽  
Coupling Constants ◽  
Massive Vector ◽  
Yang Mills ◽  
Interaction Terms ◽  
Vector Bosons

A parity-conserving and Lorentz-invariant effective field theory of self-interacting massive vector fields is considered. For the interaction terms with dimensionless coupling constants the canonical quantization is performed. It is shown that the self-consistency condition of this system with the second-class constraints in combination with the perturbative renormalizability leads to an SU(2) Yang–Mills theory with an additional mass term.

scholarly journals GENERALIZED BRST QUANTIZATION AND MASSIVE VECTOR FIELDS

1998 ◽  
Vol 13 (18) ◽  
pp. 3101-3120 ◽  
Author(s):  
ROBERT MARNELIUS ◽  
IKUO S. SOGAMI
Keyword(s):  
Vector Fields ◽  
Brst Quantization ◽  
Inner Product ◽  
Effective Theory ◽  
Product Spaces ◽  
Massive Vector ◽  
Yang Mills ◽  
Inner Product Spaces ◽  
Interaction Terms ◽  
Brst Charge

A previously proposed generalized BRST quantization on inner product spaces for second class constraints is further developed through applications. This BRST method involves a conserved generalized BRST charge Q which is not nilpotent, Q2≠0, but which satisfies Q=δ+δ†, δ2=0, and by means of which physical states are obtained from the projection δ| ph >=δ†| ph >=0. A simple model is analyzed in detail from which some basic properties and necessary ingredients are extracted. The method is then applied to a massive vector field. An effective theory is derived which is close to that of the Stückelberg model. However, since the scalar field here is introduced in order to have inner product solutions, a massive Yang–Mills theory with polynomial interaction terms might be possible to cosntruct.

scholarly journals One-Loop Renormalization of General Noncommutative Yang–Mills Field Model Coupled to Scalar and Spinor Fields

2003 ◽  
Vol 18 (17) ◽  
pp. 3057-3088 ◽  
Author(s):  
I. L. Buchbinder ◽  
V. A. Krykhtin
Keyword(s):  
Field Model ◽  
Coupling Constants ◽  
Noncommutative Field Theory ◽  
Yang Mills ◽  
Interaction Terms ◽  
Spinor Fields ◽  
Loop Approximation ◽  
The One ◽  
Mills Field ◽  
Matter Fields

We study the theory of noncommutative U (N) Yang–Mills field interacting with scalar and spinor fields in the fundamental and the adjoint representations. We include in the action both the terms describing interaction between the gauge and the matter fields and the terms which describe interaction among the matter fields only. Some of these interaction terms have not been considered previously in the context of noncommutative field theory. We find all counterterms for the theory to be finite in the one-loop approximation. It is shown that these counterterms allow to absorb all the divergencies by renormalization of the fields and the coupling constants, so the theory turns out to be multiplicatively renormalizable. In case of 1PI gauge field functions the result may easily be generalized on an arbitrary number of the matter fields. To generalize the results for the other 1PI functions it is necessary for the matter coupling constants to be adapted in the proper way. In some simple cases this generalization for a part of these 1PI functions is considered.

HAMILTONIAN BRST QUANTIZATION OF (1 + 1)-DIMENSIONAL MASSIVE VECTOR FIELDS

1996 ◽  
Vol 11 (18) ◽  
pp. 1509-1522 ◽  
Author(s):  
HIROHUMI SAWAYANAGI
Keyword(s):  
Vector Field ◽  
Laplace Transform ◽  
Vector Fields ◽  
Brst Quantization ◽  
Mass Term ◽  
Massive Vector ◽  
The Laplace Transform

The Lagrangian of a (1 + 1)-dimensional massive vector field is quantized. Since it gives the system with second-class constraints, following Batalin and Fradkin, we introduce additional fields. Although the Stueckelberg field is usually introduced, we can use a pseudoscalar field instead. The duality between them is discussed. We show that the Stueckelberg mass term is equivalent to the Laplace transform of the Lagrangian of the gauged Wess-Zumino-Witten model.

scholarly journals Vector fields localization on brane worlds

2021 ◽  
Vol 67 (3 May-Jun) ◽  
pp. 415
Author(s):  
R. Guerrero ◽  
R. Omar Rodríguez ◽  
F. Carreras
Keyword(s):  
Vector Fields ◽  
Domain Walls ◽  
Charged Particles ◽  
The Self ◽  
Vector State ◽  
Massive Vector ◽  
Brane Worlds ◽  
Vector Bosons ◽  
Bulk Cosmological Constant ◽  
Singular Domain

To confine vector bosons in the four dimensional sector of a domain wall spacetime, we propose a mechanism in which the interaction among vectors is propagated via the self-interaction of the scalar wall.  In the process, the vector acquires an asymptotic mass, defined by the bulk cosmological constant, and it ends up coupled to the wall by the tension of the brane. The mechanism is applied on the Randall Sundrum scenario and regular versions of it, and on singular domain walls. In any case, the  electrostatic potential between two charged particles is defined by both the vector state attached to the wall and a continuous tower of massive vector states that propagate freely along the scenario's extra dimension.

Non-Abelian theory for massive vector bosons and canonical quantization

1988 ◽  
Vol 37 (2) ◽  
pp. 560-562 ◽  
Author(s):  
Marcela Carena ◽  
Carlos Wagner ◽  
Luis Masperi
Keyword(s):  
Canonical Quantization ◽  
Massive Vector ◽  
Abelian Theory ◽  
Vector Bosons

scholarly journals PRODUCTION OF NON-ABELIAN TENSOR GAUGE BOSONS TREE AMPLITUDES AND BCFW RECURSION RELATION

2011 ◽  
Vol 26 (15) ◽  
pp. 2537-2555 ◽  
Author(s):  
GEORGE GEORGIOU ◽  
GEORGE SAVVIDY
Keyword(s):  
Scattering Amplitudes ◽  
High Spin ◽  
Recursion Relation ◽  
Coupling Constants ◽  
Tree Level ◽  
Taylor Formula ◽  
Coupling Constant ◽  
Gauge Bosons ◽  
Yang Mills ◽  
Vector Bosons

The BCFW recursion relation is used to calculate tree-level scattering amplitudes in generalized Yang–Mills theory and, in particular, four-particle amplitudes for the production rate of non-Abelian tensor gauge bosons of arbitrary high spin in the fusion of two gluons. The consistency of the calculations in different kinematical channels is fulfilled when all dimensionless cubic coupling constants between vector bosons and high spin non-Abelian tensor gauge bosons are equal to the Yang–Mills coupling constant. We derive a generalization of the Parke–Taylor formula in the case of production of two tensor gauge bosons of spin-s and N gluons (jets). The expression is holomorphic in the spinor variables of the scattered particles, exactly as the MHV gluon amplitude is, and reduces to the gluonic MHV amplitude when s = 1.

scholarly journals Massive vector bosons: Is the geometrical interpretation as a spontaneously broken gauge theory possible at all scales?

2015 ◽  
Vol 27 (10) ◽  
pp. 1550024 ◽  
Author(s):  
Michael Dütsch
Keyword(s):  
Gauge Theory ◽  
Weak Form ◽  
Mass Scale ◽  
Geometrical Interpretation ◽  
Massive Vector ◽  
Minimal Subtraction Scheme ◽  
Interaction Terms ◽  
Vector Bosons ◽  
The Masses ◽  
Brst Invariance

The usual derivation of the Lagrangian of a model for massive vector bosons, by spontaneous symmetry breaking of a gauge theory, implies that the prefactors of the various interaction terms are uniquely determined functions of the coupling constant(s) and the masses. Since, under the renormalization group (RG) flow, different interaction terms get different loop-corrections, it is uncertain whether these functions remain fixed under this flow. We investigate this question for the [Formula: see text]-Higgs-model to 1-loop order in the framework of Epstein–Glaser renormalization. Our main result reads: choosing the renormalization mass scale(s) in a way corresponding to the minimal subtraction scheme, the geometrical interpretation as a spontaneously broken gauge theory gets lost under the RG-flow. This holds also for the clearly stronger property of BRST-invariance of the Lagrangian. On the other hand, we prove that physical consistency, which is a weak form of BRST-invariance of the time-ordered products, is maintained under the RG-flow.

scholarly journals From Center-Vortex Ensembles to the Confining Flux Tube

Universe ◽  
2021 ◽  
Vol 7 (8) ◽  
pp. 253
Author(s):  
David R. Junior ◽  
Luis E. Oxman ◽  
Gustavo M. Simões
Keyword(s):  
Degrees Of Freedom ◽  
String Tension ◽  
Effective Field ◽  
Scaling Properties ◽  
Flux Tubes ◽  
Topological Solitons ◽  
Yang Mills ◽  
Center Vortex ◽  
Asymptotic Scaling ◽  
The Continuum

In this review, we discuss the present status of the description of confining flux tubes in SU(N) pure Yang–Mills theory in terms of ensembles of percolating center vortices. This is based on three main pillars: modeling in the continuum the ensemble components detected in the lattice, the derivation of effective field representations, and contrasting the associated properties with Monte Carlo lattice results. The integration of the present knowledge about these points is essential to get closer to a unified physical picture for confinement. Here, we shall emphasize the last advances, which point to the importance of including the non-oriented center-vortex component and non-Abelian degrees of freedom when modeling the center-vortex ensemble measure. These inputs are responsible for the emergence of topological solitons and the possibility of accommodating the asymptotic scaling properties of the confining string tension.

A RELATIVISTIC EFFECTIVE MODEL WITH PARAMETERIZED COUPLINGS FOR NEUTRON STARS: THE ROLE OF ANTIKAON CONDENSATES

2011 ◽  
Vol 20 (supp02) ◽  
pp. 133-139
Author(s):  
ALEXANDRE MESQUITA ◽  
MOISÉS RAZEIRA ◽  
DIMITER HADJIMICHEF ◽  
CÉSAR A. Z. VASCONCELLOS ◽  
ROSANA O. GOMES ◽  
...  
Keyword(s):  
Neutron Stars ◽  
Coupling Constants ◽  
Effective Model ◽  
Extended Model ◽  
Many Body ◽  
Parametric Dependence ◽  
Interaction Terms ◽  
Coupling Terms ◽  
Effective Models

We study the effects of antikaon condensates in neutron stars in the framework of a relativistic effective model with derivative couplings which includes genuine many-body forces simulated by nonlinear interaction terms involving scalar-isoscalar (σ, σ*), vector-isoscalar (ω, ɸ), vector-isovector (ϱ), scalar-isovector (δ) mesons. The effective model presented in this work has a philosophy quite similar to the original version of the model with parameterized couplings. But unlike that, in which the parametrization is directly inserted in the coupling constants of the Glendenning model, we present here a method for the derivation of the parametric dependence of the coupling terms, in a way that allows in one side to consistently justify this parametrization and in the other to extend in a coherent way the range of possibilities of parameterizations in effective models with derivative couplings. The extended model is then applied to the description of the mass of neutron stars.

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