EFFECTIVE COUPLING CONSTANTS IN GAUGE THEORIES AT HIGH TEMPERATURE

1996 ◽  
Vol 11 (32) ◽  
pp. 5643-5657 ◽  
Author(s):  
VLADIMIR V. SKALOZUB
Keyword(s):  
Magnetic Field ◽  
High Temperature ◽  
Gauge Theories ◽  
Gauge Coupling ◽  
Coupling Constants ◽  
Asymptotic Freedom ◽  
Effective Coupling ◽  
Logarithmic Term ◽  
Subtraction Point ◽  
Zero Charge

High temperature behavior of the effective gauge coupling constants, defined through the effective Lagrangians L(H, T) of strong magnetic field H=const, is investigated for a number of models. In spinor QED the well-known zero charge behavior is realized in the limit T≫(gH)1/2>μ, μ is subtraction point in the field. In scalar QED in addition to logarithmic term ~ln T/T0 describing the zero charge, the term ~T/(gH)1/2 appears and dominates at high temperatures. Similar terms are also present in the non-Abelian models and spoil asymptotic freedom of perturbative vacuum. In the latter models, the linear in T terms are resulted in the generation of classical homogeneous magnetic fields. At this background asymptotic freedom is restored.

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 MEMBRANE, FOUR-BRANE AND DUAL COORDINATES IN THE M(ATRIX) THEORY COMPACTIFIED ON TORI

1998 ◽  
Vol 13 (18) ◽  
pp. 1463-1471
Author(s):  
SHIJONG RYANG
Keyword(s):  
Dual Space ◽  
Gauge Theories ◽  
Gauge Coupling ◽  
Coupling Constants ◽  
Gauge Invariant

In the M(atrix) theory by making the expansions of the matrices around the infinite membrane and four-brane solutions, we derive the three- and five-dimensional gauge theories in the dual space–times. The explicit forms of solutions yield the dual coordinates and each expansion is related to a toroidal compactification of the M(atrix) theory. We also analyze the expansion around the finite membrane. From the derived Lorentz and gauge-invariant actions, the gauge coupling constants are shown to be characterized by the volumes of tori.

HIGH TEMPERATURE BEHAVIOR OF COUPLING CONSTANTS IN O’RAIFEARTAIGH MODEL

1989 ◽  
Vol 04 (08) ◽  
pp. 1927-1932
Author(s):  
SWEE-PING CHIA
Keyword(s):  
High Temperature ◽  
Yukawa Coupling ◽  
Coupling Constants ◽  
The Other ◽  
Temperature Behavior ◽  
Effective Coupling ◽  
High Temperature Behavior ◽  
Other Hand ◽  
Loop Approximation

The effective coupling constants for the O’Raifeartaigh model are calculated at high temperature using the improved one-loop approximation. The 3-point bosonic and the Yukawa coupling constants are found to tend to constant nonzero values as T→∞. The 4-point bosonic coupling constants, on the other hand, behave differently. They are found to decrease to zero logarithmically with T.

scholarly journals PHASE TRANSITION IN GAUGE THEORIES, MONOPOLES AND THE MULTIPLE POINT PRINCIPLE

2005 ◽  
Vol 20 (26) ◽  
pp. 5911-5988 ◽  
Author(s):  
C. R. DAS ◽  
L. V. LAPERASHVILI
Keyword(s):  
Renormalization Group ◽  
Phase Transitions ◽  
Gauge Theories ◽  
Magnetic Charge ◽  
Coupling Constants ◽  
Asymptotic Freedom ◽  
Multiple Point ◽  
Group Model ◽  
Loop Approximation ◽  
Renormalization Group Equations

This review is devoted to the Multiple Point Principle (MPP), according to which several vacuum states with the same energy density exist in Nature. The MPP is implemented to the Standard Model (SM), Family replicated gauge group model (FRGGM) and phase transitions in gauge theories with/without monopoles. Using renormalization group equations for the SM, the effective potential in the two-loop approximation is investigated, and the existence of its postulated second minimum at the fundamental scale is confirmed. Phase transitions in the lattice gauge theories are reviewed. The lattice results for critical coupling constants are compared with those of the Higgs monopole model, in which the lattice artifact monopoles are replaced by the point-like Higgs scalar particles with magnetic charge. Considering our (3+1)-dimensional space–time as, in some way, discrete or imagining it as a lattice with a parameter a = λP, where λP is the Planck length, we have investigated the additional contributions of monopoles to the β-functions of renormalization group equations for running fine structure constants αi(μ) (i = 1, 2, 3 correspond to the U (1), SU(2) and SU(3) gauge groups of the SM) in the FRGGM extended beyond the SM at high energies. It is shown that monopoles have N fam times smaller magnetic charge in the FRGGM than in the SM (N fam is a number of families in the FRGGM). We have estimated also the enlargement of a number of fermions in the FRGGM leading to the suppression of the asymptotic freedom in the non-Abelian theory. We have reviewed that, in contrast to the case of the Anti-grand-unified-theory (AGUT), there exists a possibility of unification of all gauge interactions (including gravity) near the Planck scale due to monopoles. The possibility of the [SU(5)]3 or [SO(10)]3 unification at the GUT-scale ~1018 GeV is briefly considered.

scholarly journals M5-BRANES, TORIC DIAGRAMS AND GAUGE THEORY DUALITY

2013 ◽  
Vol 21 ◽  
pp. 136-137 ◽  
Author(s):  
LING BAO ◽  
ELLI POMONI ◽  
MASATO TAKI ◽  
FUTOSHI YAGI
Keyword(s):  
Gauge Theory ◽  
String Theory ◽  
Gauge Theories ◽  
Topological String ◽  
Coupling Constants ◽  
Topological String Theory ◽  
Coulomb Branch ◽  
Effective Coupling ◽  
M Theory

We explore a duality between five-dimensional supersymmetric linear quiver gauge theories compactified on a circle, which are the five-dimensional uplifts of four-dimensional superconformal linear quiver theories. We find a correspondence between the gauge theory parameters of two dual theories, under which identical infrared effective coupling constants are obtained on the Coulomb branch. Two independent approaches using M-theory and the topological string theory give a consistent result.

Comment on "Effect of a strong magnetic field and high temperature on broken gauge theories"

1984 ◽  
Vol 29 (8) ◽  
pp. 1857-1858
Author(s):  
Pinaki Roy
Keyword(s):  
Magnetic Field ◽  
High Temperature ◽  
Strong Magnetic Field ◽  
Gauge Theories

Effect of a strong magnetic field and high temperature on broken gauge theories

1981 ◽  
Vol 24 (8) ◽  
pp. 2232-2237 ◽  
Author(s):  
J. Chakrabarti
Keyword(s):  
Magnetic Field ◽  
High Temperature ◽  
Strong Magnetic Field ◽  
Gauge Theories

ASYMPTOTICAL CONFORMAL INVARIANCE IN “FINITE” SU(2) GAUGE THEORIES IN CURVED SPACE-TIME

1989 ◽  
Vol 04 (20) ◽  
pp. 1955-1961 ◽  
Author(s):  
S.D. ODINTSOV ◽  
F. SH. ZAPIROV
Keyword(s):  
Gravitational Field ◽  
Conformal Invariance ◽  
Gauge Theories ◽  
Space Time ◽  
Coupling Constants ◽  
Effective Coupling ◽  
Field Limit ◽  
Curved Space ◽  
Strong Gravitational Field ◽  
Weak Gravitational Field

The behavior of effective coupling constants in one-loop “finite” SU(2) gauge theories in curved space-time is investigated. It is shown that in strong gravitational field the effective coupling constants, corresponding to the parameters of non-minimal interaction of scalars and gravitational field, tend to the conformal values (asymptotical conformal invariance) or increase in an exponential fashion. The weak gravitational field limit is also considered in the same models.

scholarly journals Gauge theories on compact toric manifolds

2021 ◽  
Vol 111 (3) ◽  
Author(s):  
Giulio Bonelli ◽  
Francesco Fucito ◽  
Jose Francisco Morales ◽  
Massimiliano Ronzani ◽  
Ekaterina Sysoeva ◽  
...  
Keyword(s):  
Partition Function ◽  
Gauge Theories ◽  
Blow Up ◽  
Gauge Coupling ◽  
Piecewise Constant Function ◽  
Partition Functions ◽  
Piecewise Constant ◽  
Toric Manifolds ◽  
Holomorphic Anomaly ◽  
The One

AbstractWe compute the $$\mathcal{N}=2$$ N = 2 supersymmetric partition function of a gauge theory on a four-dimensional compact toric manifold via equivariant localization. The result is given by a piecewise constant function of the Kähler form with jumps along the walls where the gauge symmetry gets enhanced. The partition function on such manifolds is written as a sum over the residues of a product of partition functions on $$\mathbb {C}^2$$ C 2 . The evaluation of these residues is greatly simplified by using an “abstruse duality” that relates the residues at the poles of the one-loop and instanton parts of the $$\mathbb {C}^2$$ C 2 partition function. As particular cases, our formulae compute the SU(2) and SU(3) equivariant Donaldson invariants of $$\mathbb {P}^2$$ P 2 and $$\mathbb {F}_n$$ F n and in the non-equivariant limit reproduce the results obtained via wall-crossing and blow up methods in the SU(2) case. Finally, we show that the U(1) self-dual connections induce an anomalous dependence on the gauge coupling, which turns out to satisfy a $$\mathcal {N}=2$$ N = 2 analog of the $$\mathcal {N}=4$$ N = 4 holomorphic anomaly equations.

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