scholarly journals Dimensional Structural Constants from Chiral and Conformal Bosonization of QCD

1997 ◽  
Vol 12 (31) ◽  
pp. 5589-5607 ◽  
Author(s):  
A. A. Andrianov ◽  
V. A. Andrianov ◽  
D. Ebert ◽  
T. Feldmann
Keyword(s):  
Pseudoscalar Meson ◽  
Scalar Fields ◽  
Gluon Density ◽  
Coupling Constants ◽  
Model Parameters ◽  
Structural Coupling ◽  
Explicit Reference ◽  
Model Independent ◽  
General Relations ◽  
Dimensional Coupling

We derive the dimensional nonperturbative part of the QCD effective action for scalar and pseudoscalar meson fields by means of chiral and conformal bosonization. The related structural coupling constants L5 and L8 of the chiral Lagrangian are estimated using general relations which are valid in a variety of chiral bosonization models without explicit reference to model parameters. The asymptotics for large scalar fields in QCD is elaborated, and model-independent constraints on dimensional coupling constants of the effective meson Lagrangian are evaluated. We determine also the interaction between scalar quarkonium and the gluon density and obtain the scalar glueball-quarkonium potential.

scholarly journals ON THE QUANTUM CHROMODYNAMICS OF A MASSIVE VECTOR FIELD IN THE ADJOINT REPRESENTATION

2013 ◽  
Vol 28 (14) ◽  
pp. 1350054 ◽  
Author(s):  
ALFONSO R. ZERWEKH
Keyword(s):  
Vector Field ◽  
Quantum Chromodynamics ◽  
Extra Dimensions ◽  
Scalar Fields ◽  
Discrete Symmetry ◽  
Adjoint Representation ◽  
Coupling Constants ◽  
Gauge Symmetries ◽  
Gauge Fixing ◽  
Definition Of

In this paper, we explore the possibility of constructing the quantum chromodynamics of a massive color-octet vector field without introducing higher structures like extended gauge symmetries, extra dimensions or scalar fields. We show that gauge invariance is not enough to constraint the couplings. Nevertheless, the requirement of unitarity fixes the values of the coupling constants, which otherwise would be arbitrary. Additionally, it opens a new discrete symmetry which makes the coloron stable and avoid its resonant production at a collider. On the other hand, a judicious definition of the gauge fixing terms modifies the propagator of the massive field making it well-behaved in the ultraviolet limit. The relation between our model and the more general approach based on extended gauge symmetries is also discussed.

Stability of renormalization group fixed points and decay of correlations

2019 ◽  
pp. 101-110
Author(s):  
Jean Zinn-Justin
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Fixed Points ◽  
Gradient Flow ◽  
Scalar Fields ◽  
Effective Field ◽  
Coupling Constants ◽  
Critical Systems ◽  
Universal Properties ◽  
General Physical

Chapter 7 is devoted to a discussion of the renormalization group (RG) flow when the effective field theory that describes universal properties of critical phenomena depends on several coupling constants. The universal properties of a large class of macroscopic phase transitions with short range interactions can be described by statistical field theories involving scalar fields with quartic interactions. The simplest critical systems have an O(N) orthogonal symmetry and, therefore, the corresponding field theory has only one quartic interaction. However, in more general physical systems, the flow of quartic interactions is more complicated. This chapter examines these systems from the RG viewpoint. RG beta functions are shown to generate a gradient flow. Some examples illustrate the notion of emergent symmetry. The local stability of fixed points is related to the value of the scaling field dimension.

scholarly journals The Ambiguity in the Definition and Behavior of the Gravitational and Cosmological `Coupling Constants’ in the Theory of Induced Gravity

Symmetry ◽  
2019 ◽  
Vol 11 (1) ◽  
pp. 81 ◽  
Author(s):  
Farkhat Zaripov
Keyword(s):  
Gravitational Interaction ◽  
Scalar Fields ◽  
Coupling Constants ◽  
De Sitter ◽  
Induced Gravity ◽  
Mean Values ◽  
Gravitational And Cosmological Constants ◽  
Centrally Symmetric ◽  
Walker Metric ◽  
Cosmological Constants

This work is the extension of author`s research, where the modified theory of induced gravity (MTIG) is proposed. The theory describes two systems (stages): Einstein (ES) and “restructuring” (RS). We consider equations with quadratic potential that are symmetric with respect to scale transformations. The solutions of the equations obtained for the case of spaces defined by the Friedman-Robertson-Walker metric, as well as for a centrally symmetric space are investigated. In our model arise effective gravitational and cosmological “constants”, which are defined by the “mean square” of the scalar fields. In obtained solutions the values of such parameters as “Hubble parameter”, gravitational and cosmological “constants” in the RS stage fluctuate near monotonically evolving mean values. These parameters are matched with observational data, described as phenomena of dark energy and dark matter. The MTIG equations for the case of a centrally symmetric gravitational field, in addition to the Schwarzschild-de Sitter solutions, contain solutions that lead to the new physical effects at large distances from the center. The Schwarzschild-Sitter solution becomes unstable and enters the oscillatory regime. For distances greater than a certain critical value, the following effects can appear: deviation from General relativity and Newton’s law of gravitational interaction, antigravity.

Dependence on the renormalization points in a simple scalar theory

1982 ◽  
Vol 60 (6) ◽  
pp. 789-792
Author(s):  
Gerry McKeon
Keyword(s):  
Scalar Potential ◽  
Scalar Fields ◽  
Simple Theory ◽  
Coupling Constants ◽  
Scalar Theory

One loop corrections to the scalar potential in a simple theory involving two scalar fields [Formula: see text] and ψ are evaluated. The dependence of the renormalized coupling constants on the renormalization points [Formula: see text] and ψ0 are examined. It is found that under the change [Formula: see text], ψ0 → (1 + ε)ψ0, the coupling constants vary according to a set of equations that are independent of the ratio [Formula: see text]. It is shown that the coupling constants are not altered if [Formula: see text] is changed.

A new pressure-parametric cosmological model

2020 ◽  
Vol 35 (25) ◽  
pp. 2050209
Author(s):  
Yan-Hong Yao ◽  
Xin-He Meng
Keyword(s):  
Scalar Fields ◽  
Model Parameters ◽  
Acoustic Oscillations ◽  
Dark Sector ◽  
Type Ia ◽  
Phantom Scalar ◽  
Acceleration Of The Universe ◽  
Expansion Of The Universe ◽  
Ia Supernovae ◽  
The Universe

We put forward a pressure-parametric model to study the tiny deviation from cosmological constant(CC) behavior of the dark sector accelerating the expansion of the Universe. Data from cosmic microwave background (CMB) anisotropies, baryonic acoustic oscillations (BAO), Type Ia supernovae (SN Ia) observation are applied to constrict the model parameters. The constraint results show that such model suffers with [Formula: see text] tension as well. To realize this model more physically, we reconstruct it with the quintessence and phantom scalar fields, and find out that although the model predicts a quintessence-induced acceleration of the Universe at past and present, at some moment of the future, dark energy’s density have a disposition to increase.

scholarly journals NON-SUSY AND SUSY ONE-STEP UNIFICATION

1998 ◽  
Vol 13 (26) ◽  
pp. 2153-2162 ◽  
Author(s):  
ABDEL PÉREZ-LORENZANA ◽  
ARNULFO ZEPEDA ◽  
WILLIAM A. PONCE
Keyword(s):  
Decay Rates ◽  
Coupling Constants ◽  
Gauge Models ◽  
The Standard Model ◽  
Low Energies ◽  
One Step ◽  
Standard Model Coupling ◽  
Model Independent ◽  
Supersymmetric Gauge ◽  
Experimental Values

We explore the possibility of achieving one-step unification of the standard model coupling constants within non-supersymmetric and supersymmetric gauge models, which at low energies have only the standard particle content. The constraints are the experimental values of αem, αs and sin 2θW at 102 GeV, and the lower bounds for FCNC and proton decay rates. The analysis is done in a model-independent way.

ON A PHASE STRUCTURE OF A TWO-DIMENSIONAL (φ2)2 FIELD THEORY

1989 ◽  
Vol 04 (18) ◽  
pp. 4977-4990 ◽  
Author(s):  
G. V. EFIMOV
Keyword(s):  
Field Theory ◽  
Phase Transitions ◽  
Phase Structure ◽  
Weak Coupling ◽  
Scalar Fields ◽  
Perturbation Series ◽  
Coupling Constants ◽  
Two Dimensional ◽  
Effective Coupling ◽  
Two Phases

Two models of scalar fields with the interaction Lagrangians gφ4 and [Formula: see text] are considered in ℝ2. There are phase transitions in these models for a certain g = gc. It is shown that the spontaneous symmetry breaking takes place for g > gc. The description of the two phases for g < gc and g > gc is given. The effective coupling constants in perturbation series are less than unity for both the phases so that these models describe the systems with weak coupling. In the second model the "Goldstone" particles have nonzero masses in the phase g > gc.

scholarly journals Entanglement between two scalar fields in an expanding spacetime

2017 ◽  
Vol 32 (19) ◽  
pp. 1750104
Author(s):  
Helder Alexander ◽  
I. G. da Paz ◽  
Marcos Sampaio
Keyword(s):  
Perturbation Theory ◽  
Scalar Fields ◽  
Quantum Correlations ◽  
Coupling Constants ◽  
Mutual Interaction ◽  
Leading Order ◽  
Logarithmic Negativity

We study the evolution of two scalar fields entangled via a mutual interaction in an expanding spacetime. We compute the logarithmic negativity to leading order in perturbation theory and show that for the lowest order in the coupling constants, the mutual interaction will give rise to the survival of the quantum correlations in the limit of the smooth expansion. The results suggest that interacting fields can codify more information about the underlying expansion spacetime and lead to interesting observable effects.

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