Higher‐dimensional unifications of gravitation and gauge theories

1975 ◽  
Vol 16 (10) ◽  
pp. 2029-2035 ◽  
Author(s):  
Y. M. Cho
Keyword(s):  
Gauge Theories ◽  
Higher Dimensional

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 GAUGE HIERARCHY PROBLEM AND HIGHER-DIMENSIONAL GAUGE THEORIES

1998 ◽  
Vol 13 (32) ◽  
pp. 2601-2611 ◽  
Author(s):  
HISAKI HATANAKA ◽  
TAKEO INAMI ◽  
C. S. LIM
Keyword(s):  
Higgs Mass ◽  
Quantum Correction ◽  
Gauge Theories ◽  
Finite Mass ◽  
Hierarchy Problem ◽  
Mass Correction ◽  
Higher Dimensional ◽  
Gauge Hierarchy ◽  
Simply Connected ◽  
Matter Fields

We report on an attempt to solve the gauge hierarchy problem in the framework of higher-dimensional gauge theories. Both classical Higgs mass and quadratically divergent quantum correction to the mass are argued to be vanished. Hence the hierarchy problem in its original sense is solved. The remaining finite mass correction is shown to depend crucially on the choice of boundary condition for matter fields, and a way to fix it dynamically is presented. We also point out that on the simply-connected space S2 even the finite mass correction vanishes.

TWO-DIMENSIONAL QCD WITH ADJOINT MATTER

1996 ◽  
Vol 11 (25) ◽  
pp. 4465-4490
Author(s):  
KREŠIMIR DEMETERFI
Keyword(s):  
Density Of States ◽  
Mass Spectra ◽  
Bound States ◽  
Gauge Theories ◽  
Complex Dynamics ◽  
Pair Creation ◽  
Two Dimensional ◽  
Large N ◽  
Higher Dimensional ◽  
Light Cone Quantization

We review the recent work on the light-cone quantization of (1+1)-dimensional large N QCD coupled to adjoint matter. The spectrum of these models consists of glueball-like bound states which, in the large N limit, can be pictured as closed strings that cannot split or join. The pair creation (annihilation) inside the string is not suppressed even in the large N limit, giving rise to complex dynamics similar to that of genuine higher dimensional gauge theories. The mass spectra of such models exhibit an exponential growth of the density of states (Hagedorn behavior) and the absence of massless glueballs even in the case of massless constituents.

scholarly journals Gauge Theories: From Kaluza–Klein to noncommutative gravity theories

Symmetry ◽  
2019 ◽  
Vol 11 (7) ◽  
pp. 856
Author(s):  
George Manolakos ◽  
Pantelis Manousselis ◽  
George Zoupanos
Keyword(s):  
Dimensional Reduction ◽  
Particle Physics ◽  
Extra Dimensions ◽  
Gauge Theories ◽  
Dimensional Theory ◽  
Higher Dimensional ◽  
Coset Spaces ◽  
Gravity Theories ◽  
Physics Model ◽  
Kaluza Klein

First, the Coset Space Dimensional Reduction scheme and the best particle physics model so far resulting from it are reviewed. Then, a higher-dimensional theory in which the extra dimensions are fuzzy coset spaces is described and a dimensional reduction to four-dimensional theory is performed. Afterwards, another scheme including fuzzy extra dimensions is presented, but this time the starting theory is four-dimensional while the fuzzy extra dimensions are generated dynamically. The resulting theory and its particle content is discussed. Besides the particle physics models discussed above, gravity theories as gauge theories are reviewed and then, the whole methodology is modified in the case that the background spacetimes are noncommutative. For this reason, specific covariant fuzzy spaces are introduced and, eventually, the program is written for both the 3-d and 4-d cases.

scholarly journals Extra-dimensional models on the lattice

2016 ◽  
Vol 31 (22) ◽  
pp. 1643002 ◽  
Author(s):  
Francesco Knechtli ◽  
Enrico Rinaldi
Keyword(s):  
Perturbation Theory ◽  
Gauge Theories ◽  
Higgs Field ◽  
Quantum Corrections ◽  
Higgs Potential ◽  
Strongly Coupled ◽  
Four Dimensions ◽  
Ongoing Effort ◽  
Higher Dimensional ◽  
Dimensional Models

In this review we summarize the ongoing effort to study extra-dimensional gauge theories with lattice simulations. In these models the Higgs field is identified with extra-dimensional components of the gauge field. The Higgs potential is generated by quantum corrections and is protected from divergences by the higher dimensional gauge symmetry. Dimensional reduction to four dimensions can occur through compactification or localization. Gauge-Higgs unification models are often studied using perturbation theory. Numerical lattice simulations are used to go beyond these perturbative expectations and to include nonperturbative effects. We describe the known perturbative predictions and their fate in the strongly-coupled regime for various extra-dimensional models.

scholarly journals Higgs Inflaton Potential in Higher-Dimensional SUSY Gauge Theories

2009 ◽  
Vol 122 (2) ◽  
pp. 543-551 ◽  
Author(s):  
T. Inami ◽  
Y. Koyama ◽  
C. S. Lim ◽  
S. Minakami
Keyword(s):  
Gauge Theories ◽  
Higher Dimensional

Higher-dimensional gauge theories from string theory

2016 ◽  
Vol 64 (4-5) ◽  
pp. 303-316 ◽  
Author(s):  
Alessandro Tomasiello
Keyword(s):  
String Theory ◽  
Gauge Theories ◽  
Higher Dimensional
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