scholarly journals BPS strings and the stability of the asymptotic Casimir law in adjoint flavor-symmetric Yang-Mills-Higgs models

2020 ◽  
Vol 102 (7) ◽  
Author(s):  
David R. Junior ◽  
Luis E. Oxman ◽  
Gustavo M. Simões
Keyword(s):  
Yang Mills ◽  
The Stability

On the stability of the perturbative ground state in non-abelian Yang-Mills theories

1985 ◽  
Vol 154 (5-6) ◽  
pp. 411-417 ◽  
Author(s):  
Maurizio Consoli ◽  
Giuliano Preparata
Keyword(s):  
Ground State ◽  
Yang Mills ◽  
The Stability

scholarly journals INFLATIONARY DILATONIC de SITTER UNIVERSE FROM ${\mathcal N} = 4$ SUPER-YANG–MILLS THEORY PERTURBED BY SCALARS

2003 ◽  
Vol 18 (18) ◽  
pp. 1257-1264
Author(s):  
JOHN QUIROGA HURTADO
Keyword(s):  
Effective Action ◽  
Initial Conditions ◽  
Equations Of Motion ◽  
Scale Factor ◽  
Conformal Anomaly ◽  
Inflationary Universe ◽  
De Sitter ◽  
Yang Mills ◽  
The Stability ◽  
Super Yang Mills Theory

In this paper a quantum [Formula: see text] super-Yang–Mills theory perturbed by dilaton-coupled scalars, is considered. The induced effective action for such a theory is calculated on a dilaton-gravitational background using the conformal anomaly found via AdS/CFT correspondence. Considering such an effective action (using the large N method) as a quantum correction to the classical gravity action with cosmological constant we study the effect from dilaton to the scale factor (which corresponds to the inflationary universe without dilaton). It is shown that, depending on the initial conditions for the dilaton, the dilaton may slow down, or accelerate, the inflation process. At late times, the dilaton is decaying exponentially. At the end of this work, we consider the question how the perturbation of the solution for the scale factor affects the stability of the solution for the equations of motion and therefore the stability of the Inflationary Universe, which could be eternal.

The importance of quantum effects in Kaluza–Klein theory

1986 ◽  
Vol 64 (5) ◽  
pp. 644-652 ◽  
Author(s):  
D. J. Toms
Keyword(s):  
Effective Action ◽  
Gauge Coupling ◽  
Quantum Effects ◽  
Induced Gravity ◽  
Yang Mills ◽  
Self Consistent ◽  
Klein Theory ◽  
Dimensional Gravity ◽  
The Stability ◽  
Kaluza Klein

This paper presents a discussion of the role of quantum effects in Kaluza–Klein theories. It is demonstrated why it is not possible to examine the existence of self-consistent solutions induced by quantum corrections to the classical theory if only the vacuum energy is used. The importance of the induced gravity and induced Yang–Mills terms in the effective action are emphasized. General criteria are given for the existence of self-consistent solutions in certain cases, and an expression is given for the gauge-coupling constant. Quantization of five-dimensional gravity with a cosmological constant is considered. Expressions are given for the constants that multiply the induced gravity and Yang–Mills terms in the one-loop effective action for this theory. Although the theory is one-loop finite, the necessity for performing finite renormalizations—a fact that has hitherto been overlooked—is discussed. Results of an analysis of the stability of self-consistent solutions are given, where it is shown why many of the solutions are unstable to small perturbations. A number of prospects for future work are given.

scholarly journals Explaining Defects of the Universal Vacua with Black Holes-Hedgehogs and Strings

Universe ◽  
2019 ◽  
Vol 5 (3) ◽  
pp. 78
Author(s):  
C. Das ◽  
L. Laperashvili ◽  
H. Nielsen ◽  
B. Sidharth
Keyword(s):  
Black Hole ◽  
Planck Scale ◽  
Topological Defects ◽  
New Physics ◽  
Higgs Bosons ◽  
Multiple Point ◽  
False Vacuum ◽  
Yang Mills ◽  
True Vacuum ◽  
The Stability

Assuming the Multiple Point Principle (MPP) as a new law of Nature, we considered the existence of the two degenerate vacua of the Universe: (a) the first Electroweak (EW) vacuum at v 1 ≈ 246 GeV—“true vacuum”, and (b) the second Planck scale “false vacuum” at v 2 ∼ 10 18 GeV. In these vacua, we investigated different topological defects. The main aim of the paper is an investigation of the black-hole-hedgehogs configurations as defects of the false vacuum. In the framework of the f ( R ) gravity, described by the Gravi-Weak unification model, we considered a black-hole solution, which corresponds to a “hedgehog”—global monopole, that has been “swallowed” by the black-hole with mass core M B H ∼ 10 18 GeV and radius δ ∼ 10 − 21 GeV − 1 . Considering the results of the hedgehog lattice theory in the framework of the S U ( 2 ) Yang-Mills gauge-invariant theory with hedgehogs in the Wilson loops, we have used the critical value of temperature for the hedgehogs’ confinement phase ( T c ∼ 10 18 GeV). This result gave us the possibility to conclude that the SM shows a new physics (with contributions of the S U ( 2 ) -triplet Higgs bosons) at the scale ∼10 TeV. This theory predicts the stability of the EW-vacuum and the accuracy of the MPP.

scholarly journals RADIATIVE CORRECTIONS TO THE PRESSURE AND THE ONE-LOOP POLARIZATION TENSOR OF MASSLESS MODES IN SU(2) YANG–MILLS THERMODYNAMICS

2007 ◽  
Vol 22 (06) ◽  
pp. 1213-1237 ◽  
Author(s):  
MARKUS SCHWARZ ◽  
RALF HOFMANN ◽  
FRANCESCO GIACOSA
Keyword(s):  
Atomic Hydrogen ◽  
Black Body ◽  
Coulomb Gauge ◽  
Polarization Tensor ◽  
Radiative Corrections ◽  
Loop Correction ◽  
Yang Mills ◽  
Massless Mode ◽  
The Stability ◽  
The One

We compute the one-loop polarization tensor Π for the on-shell, massless mode in a thermalized SU(2) Yang–Mills theory being in its deconfining phase. Postulating that [Formula: see text], we discuss Π's effect on the low-momentum part of the black-body spectrum at temperatures ~2,…,4 T CMB where T CMB ~ 2.73 K . A table-top experiment is proposed to test the above postulate. As an application, we point out a possible connection with the stability of dilute, cold, and old innergalactic atomic hydrogen clouds. We also compute the two-loop correction to the pressure arising from the instantaneous massless mode in unitary-Coulomb gauge, which formerly was neglected, and present improved estimates for subdominant corrections.

scholarly journals On the stability of dyons and dyonic black holes in Einstein–Yang–Mills theory

2016 ◽  
Vol 33 (4) ◽  
pp. 045003 ◽  
Author(s):  
Brien C Nolan ◽  
Elizabeth Winstanley
Keyword(s):  
Black Holes ◽  
Yang Mills ◽  
The Stability

Gravitational black-holes-hedgehogs and two degenerate vacua of the Universe

2018 ◽  
Vol 27 (03) ◽  
pp. 1850022 ◽  
Author(s):  
B. G. Sidharth ◽  
C. R. Das ◽  
L. V. Laperashvili ◽  
H. B. Nielsen
Keyword(s):  
Black Hole ◽  
Planck Scale ◽  
Topological Defects ◽  
New Physics ◽  
Multiple Point ◽  
False Vacuum ◽  
Yang Mills ◽  
True Vacuum ◽  
The Stability ◽  
The Universe

In the present paper, assuming the Multiple Point Principle (MPP) as a new law of Nature, we considered the existence of the two degenerate vacua of the Universe: the first Electroweak (EW) vacuum at [Formula: see text][Formula: see text]GeV — “true vacuum”, and the second Planck scale “false vacuum” at [Formula: see text] GeV. In these vacua, we investigated different topological defects. The main aim of this paper is an investigation of the black-hole-hedgehogs configurations as defects of the false vacuum. In the framework of the [Formula: see text] gravity, described by the Gravi-Weak unification model, we considered a black-hole solution, which corresponds to a “hedgehog” — global monopole, that has been “swallowed” by the black-hole with mass core [Formula: see text][Formula: see text]GeV and radius [Formula: see text][Formula: see text]GeV[Formula: see text]. Considering the results of the hedgehog lattice theory in the framework of the [Formula: see text] Yang–Mills gauge-invariant theory with hedgehogs in the Wilson loops, we have used the critical value of temperature for the hedgehogs confinement phase ([Formula: see text][Formula: see text]GeV). This result gave us the possibility to conclude that the SM shows a new physics with contributions of the [Formula: see text]-triplet Higgs bosons at the scale [Formula: see text][Formula: see text]TeV. Theory predicts the stability of the EW-vacuum and the accuracy of the MPP.

scholarly journals EINSTEIN MANIFOLDS AS YANG–MILLS INSTANTONS

2013 ◽  
Vol 28 (21) ◽  
pp. 1350097 ◽  
Author(s):  
JOHN J. OH ◽  
HYUN SEOK YANG
Keyword(s):  
Gauge Theory ◽  
Einstein Manifold ◽  
Point Of View ◽  
Einstein Equations ◽  
Einstein Manifolds ◽  
Gauge Groups ◽  
Four Dimensions ◽  
Yang Mills ◽  
Theory Point ◽  
The Stability

It is well known that Einstein gravity can be formulated as a gauge theory of Lorentz group where spin connections play a role of gauge fields and Riemann curvature tensors correspond to their field strengths. One can then pose an interesting question: What is the Einstein equation from the gauge theory point of view? Or equivalently, what is the gauge theory object corresponding to Einstein manifolds? We show that the Einstein equations in four dimensions are precisely self-duality equations in Yang–Mills gauge theory and so Einstein manifolds correspond to Yang–Mills instantons in SO (4) = SU (2)L × SU (2)R gauge theory. Specifically, we prove that any Einstein manifold with or without a cosmological constant always arises as the sum of SU (2)L instantons and SU (2)R anti-instantons. This result explains why an Einstein manifold must be stable because two kinds of instantons belong to different gauge groups, instantons in SU (2)L and anti-instantons in SU (2)R, and so they cannot decay into a vacuum. We further illuminate the stability of Einstein manifolds by showing that they carry nontrivial topological invariants.

scholarly journals Explaining Defects of the Universal Vacua with Black Holes-Hedgehogs and Strings

2018 ◽  
Author(s):  
C.R. Das ◽  
L.V. Laperashvili ◽  
H.B. Nielsen ◽  
B.G. Sidharth
Keyword(s):  
Black Hole ◽  
Planck Scale ◽  
Topological Defects ◽  
New Physics ◽  
Higgs Bosons ◽  
Multiple Point ◽  
False Vacuum ◽  
Yang Mills ◽  
True Vacuum ◽  
The Stability

Assuming the Multiple Point Principle (MPP) as a new law of Nature, we considered the existence of the two degenerate vacua of the Universe: a) the first Electroweak (EW) vacuum at $v_1\approx 246$ GeV—“true vacuum”, and b) the second Planck scale “false vacuum” at $v_2 \sim 10^{18}$ GeV. In these vacua, we investigated different topological defects. The main aim of the paper is an investigation of the black-hole-hedgehogs configurations as defects of the false vacuum. In the framework of the $f(R)$ gravity, described by the Gravi-Weak unification model, we considered a black-hole solution, which corresponds to a “hedgehog”—global monopole, that has been “swallowed” by the black-hole with mass core $M_{BH}\sim 10^{18}$ GeV and radius $\delta\sim 10^{-21}$ GeV$^{-1}$. Considering the results of the hedgehog lattice theory in the framework of the $SU(2)$ Yang-Mills gauge-invariant theory with hedgehogs in the Wilson loops, we have used the critical value of temperature for the hedgehogs’ confinement phase ($T_c\sim 10^{18}$ GeV). This result gave us the possibility to conclude that the SM shows a new physics (with contributions of the $SU(2)$-triplet Higgs bosons) at the scale $\sim 10$ TeV. This theory predicts the stability of the EW-vacuum and the accuracy of the MPP.

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