scholarly journals One-dimensional soliton system of gauged kink and Q-ball

2019 ◽  
Vol 79 (9) ◽  
Author(s):  
A. Yu. Loginov ◽  
V. V. Gauzshtein
Keyword(s):  
Electric Field ◽  
Gauge Coupling ◽  
Scalar Fields ◽  
Coupling Constants ◽  
Gauge Model ◽  
Complex Scalar ◽  
Abelian Gauge ◽  
Small Perturbations ◽  
One Dimensional ◽  
Dimensional Soliton

Abstract In the present paper, we consider a $$(1 + 1)$$(1+1)-dimensional gauge model consisting of two complex scalar fields interacting with each other through an Abelian gauge field. When the model’s gauge coupling constants are set to zero, the model possesses non-gauged Q-ball and kink solutions that do not interact with each other. It is shown here that for nonzero gauge coupling constants, the model has a soliton solution describing the system that consists of interacting Q-ball and kink components. These two components of the kink-Q-ball system have opposite electric charges, meaning that the total electric charge of the system vanishes. The properties of the kink-Q-ball system are studied both analytically and numerically. In particular, it was found that the system possesses a nonzero electric field and is unstable with respect to small perturbations in the fields.

scholarly journals Radially and azimuthally excited states of a soliton system of vortex and Q-ball

2020 ◽  
Vol 80 (12) ◽  
Author(s):  
A. Yu. Loginov ◽  
V. V. Gauzshtein
Keyword(s):  
Angular Momentum ◽  
Excited States ◽  
Gauge Coupling ◽  
Coupling Constants ◽  
Thick Wall ◽  
Thin Wall ◽  
Two Dimensional ◽  
Abelian Gauge ◽  
Dimensional Soliton ◽  
Quantized Magnetic Flux

AbstractIn the present paper, we continue to study the two-dimensional soliton system that is composed of vortex and Q-ball components interacting with each other through an Abelian gauge field. This vortex-Q-ball system is electrically neutral as a whole, nevertheless it possesses a nonzero electric field. Moreover, the vortex-Q-ball system has a quantized magnetic flux and a nonzero angular momentum, and combines properties of topological and nontopological solitons. We investigate radially and azimuthally excited states of the vortex-Q-ball system along with the unexcited vortex-Q-ball system at different values of gauge coupling constants. We also ascertain the behaviour of the vortex-Q-ball system in several extreme regimes, including thin-wall and thick-wall regimes.

scholarly journals GRAVITATIONAL CORRECTION TO SU(5) GAUGE COUPLING UNIFICATION

2010 ◽  
Vol 25 (04) ◽  
pp. 283-293 ◽  
Author(s):  
JITESH R. BHATT ◽  
SUDHANWA PATRA ◽  
UTPAL SARKAR
Keyword(s):  
Gauge Theories ◽  
Gauge Coupling ◽  
Phenomenological Approach ◽  
Coupling Constants ◽  
Abelian Gauge ◽  
Higher Dimensional

The gravitational corrections to the gauge coupling constants of Abelian and non-Abelian gauge theories have been shown to diverge quadratically. Since this result will have interesting consequences, this has been analyzed by several authors from different approaches. We propose to discuss this issue from a phenomenological approach. We analyze the SU(5) gauge coupling unification and argue that the gravitational corrections to gauge coupling constants may not vanish when higher dimensional non-renormalizable terms are included in the problem.

scholarly journals The NSVZ relations for $$ \mathcal{N} $$ = 1 supersymmetric theories with multiple gauge couplings

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
D. S. Korneev ◽  
D. V. Plotnikov ◽  
K. V. Stepanyantz ◽  
N. A. Tereshina
Keyword(s):  
Gauge Coupling ◽  
Coupling Constants ◽  
Abelian Gauge ◽  
Covariant Derivatives ◽  
Higher Derivative ◽  
Anomalous Dimensions ◽  
New Form ◽  
Gauge Couplings ◽  
Supersymmetric Gauge ◽  
Supersymmetric Theories

Abstract We investigate the NSVZ relations for $$ \mathcal{N} $$ N = 1 supersymmetric gauge theories with multiple gauge couplings. As examples, we consider MSSM and the flipped SU(5) model, for which they easily reproduce the results for the two-loop β-functions. For $$ \mathcal{N} $$ N = 1 SQCD interacting with the Abelian gauge superfield we demonstrate that the NSVZ-like equation for the Adler D-function follows from the NSVZ relations. Also we derive all-loop equations describing how the NSVZ equations for theories with multiple gauge couplings change under finite renormalizations. They allow describing a continuous set of NSVZ schemes in which the exact NSVZ β-functions are valid for all gauge coupling constants. Very likely, this class includes the HD+MSL scheme, which is obtained if a theory is regularized by Higher covariant Derivatives and divergences are removed by Minimal Subtractions of Logarithms. That is why we also discuss how one can construct the higher derivative regularization for theories with multiple gauge couplings. Presumably, this regularization allows to derive the NSVZ equations for such theories in all loops. In this paper we make the first step of this derivation, namely, the NSVZ equations for theories with multiple gauge couplings are rewritten in a new form which relates the β-functions to the anomalous dimensions of the quantum gauge superfields, of the Faddeev-Popov ghosts, and of the matter superfields. The equivalence of this new form to the original NSVZ relations follows from the extension of the non-renormalization theorem for the triple gauge-ghost vertices, which is also derived in this paper.

scholarly journals PREDICTIONS FOR NON-ABELIAN FINE STRUCTURE CONSTANTS FROM MULTIPLE POINT CRITICALITY

1994 ◽  
Vol 09 (29) ◽  
pp. 5155-5200 ◽  
Author(s):  
D.L. BENNETT ◽  
H.B. NIELSEN
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Planck Scale ◽  
Gauge Coupling ◽  
Coupling Constants ◽  
Multiple Point ◽  
Abelian Gauge ◽  
Lattice Gauge ◽  
Structure Constants ◽  
Diagonal Subgroup

In developing a model for predicting the non-Abelian gauge coupling constants, we argue for the phenomenological validity of a “principle of multiple point criticality.” This is supplemented with the assumption of an “(grand) antiunified” gauge group SMG N gen ~ U(1) N gen × SU(2) N gen × SU(3) N gen which, at the Planck scale, breaks down to the diagonal subgroup. (Ngen is the number of generations, which is assumed to be three.) According to this principle of multiple point criticality, the Planck scale experimental couplings correspond to multiple point couplings of the bulk phase transition of a lattice gauge theory (with SMG N gen ). Predictions from this principle agree with running non-Abelian couplings (after an extrapolation to the Planck scale using the assumption of a “desert”) to an accuracy of 7%. As an explanation for the existence of the multiple point, a speculative model using a glassy lattice gauge theory is presented.

scholarly journals POSSIBLE CONFINEMENT MECHANISMS FOR NONRELATIVISTIC PARTICLES ON A LINE

2001 ◽  
Vol 16 (29) ◽  
pp. 1919-1932
Author(s):  
P. C. STICHEL ◽  
W. J. ZAKRZEWSKI
Keyword(s):  
Quantum Mechanics ◽  
Particle System ◽  
Coupling Constants ◽  
Energy Spectra ◽  
Gauge Fields ◽  
Gauge Model ◽  
Abelian Gauge ◽  
Gravitational Fields ◽  
Gauge Interaction ◽  
Moyal Quantization

The gauge model of nonrelativistic particles on a line interacting with nonstandard gravitational fields5 is supplemented by the addition of a (non)-Abelian gauge interaction. Solving for the gauge fields we obtain equations, in closed form, for a classical two-particle system. The corresponding Schrödinger equation, obtained by the Moyal quantization procedure, is solved analytically. Its solutions exhibit two different confinement mechanisms — dependent on the sign of the coupling λ to the nonstandard gravitational fields. For λ >0 confinement is due to a rising potential, whereas for λ<0 it is due to the dynamical (geometric) bag formation. Numerical results for the corresponding energy spectra are given. For a particular relation between two coupling constants, the model fits into the scheme of supersymmetrical quantum mechanics.

BOSE-FERMI TRANSMUTATION 2+1 DIMENSIONS: EFFECT OF SELF-INTERACTIONS AND THE MAXWELL TERM

1991 ◽  
Vol 06 (26) ◽  
pp. 2379-2387 ◽  
Author(s):  
R. SHANKAR ◽  
M. SIVAKUMAR
Keyword(s):  
Mean Field ◽  
Scalar Fields ◽  
Coupling Constants ◽  
Abelian Gauge ◽  
Charged Scalar ◽  
Long Wavelength ◽  
Wavelength Approximation ◽  
The Mean ◽  
Chern Simons ◽  
Fermion Current

We show the partition function of self-interacting charged scalar fields coupled with Abelian gauge fields governed by Maxwell-Chern-Simons action is equivalent in the long-wavelength approximation to that of a massive four-Fermi theory. The coupling constants and mass of the fermionic theory is explicitly related to those of the bosonic theory. The gauge invariant charged scalar current is shown to be transmuted to fermion current. The physical mass of the fermion is computed at the mean field level and shown to be finite at large self-coupling.

Statistical mechanics of one-dimensional complex scalar fields with phase anisotropy

1979 ◽  
Vol 20 (5) ◽  
pp. 2213-2224 ◽  
Author(s):  
J. F. Currie ◽  
S. Sarker ◽  
A. R. Bishop ◽  
S. E. Trullinger
Keyword(s):  
Statistical Mechanics ◽  
Scalar Fields ◽  
Phase Anisotropy ◽  
Complex Scalar ◽  
One Dimensional

scholarly journals PHASE TRANSITION OF N-COMPONENT SUPERCONDUCTORS

1996 ◽  
Vol 11 (23) ◽  
pp. 4273-4306 ◽  
Author(s):  
B. BERGERHOFF ◽  
D.F. LITIM ◽  
S. LOLA ◽  
C. WETTERICH
Keyword(s):  
Phase Transition ◽  
Three Dimensional ◽  
Gauge Coupling ◽  
Scalar Fields ◽  
Flow Equation ◽  
Second Order ◽  
Complex Scalar ◽  
Gauge Invariant ◽  
Second Order Transition ◽  
Average Action

We investigate the phase transition in the three-dimensional Abelian Higgs model for N complex scalar fields, using the gauge-invariant average action Γk. The dependence of Γk. on the effective infrared cutoff k is described by a nonperturbative flow equation. The transition turns out to be first or second order, depending on the ratio between the scalar and gauge coupling. We look at the fixed points of the theory for various N and compute the critical exponents of the model. Our results suggest the existence of a parameter range with a second order transition for all N, including the case of the superconductor phase transition for N=1.

scholarly journals Renormalization of Galilean electrodynamics

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Shira Chapman ◽  
Lorenzo Di Pietro ◽  
Kevin T. Grosvenor ◽  
Ziqi Yan
Keyword(s):  
Scalar Field ◽  
Conformal Symmetry ◽  
Beta Function ◽  
Gauge Coupling ◽  
Field Method ◽  
Continuous Family ◽  
Maxwell Theory ◽  
Complex Scalar ◽  
Abelian Gauge ◽  
Classical Level

Abstract We study the quantum properties of a Galilean-invariant abelian gauge theory coupled to a Schrödinger scalar in 2+1 dimensions. At the classical level, the theory with minimal coupling is obtained from a null-reduction of relativistic Maxwell theory coupled to a complex scalar field in 3+1 dimensions and is closely related to the Galilean electromagnetism of Le-Bellac and Lévy-Leblond. Due to the presence of a dimensionless, gauge-invariant scalar field in the Galilean multiplet of the gauge-field, we find that at the quantum level an infinite number of couplings is generated. We explain how to handle the quantum corrections systematically using the background field method. Due to a non-renormalization theorem, the beta function of the gauge coupling is found to vanish to all orders in perturbation theory, leading to a continuous family of fixed points where the non-relativistic conformal symmetry is preserved.

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