scholarly journals The evolution of gauge couplings and the Weinberg angle in 5 dimensions for an SU(3) gauge group

2017 ◽  
Vol 802 ◽  
pp. 012005
Author(s):  
Mohammed Omer Khojali ◽  
A. S. Cornell ◽  
Aldo Deandrea
Keyword(s):  
Gauge Group ◽  
Gauge Couplings ◽  
Weinberg Angle

scholarly journals Evolution of the gauge couplings and Weinberg angle in 5-dimensions for a G 2 gauge group

2017 ◽  
Vol 889 ◽  
pp. 012012
Author(s):  
Mohammed Omer Khojali ◽  
A. S. Cornell ◽  
Aldo Deandrea ◽  
Giacomo Cacciapaglia
Keyword(s):  
Gauge Group ◽  
Gauge Couplings ◽  
Weinberg Angle

scholarly journals Evolution of the gauge couplings and Weinberg angle in 5-dimensions for an SU(5) and flipped SU(5) gauge group

2017 ◽  
Vol 878 ◽  
pp. 012024
Author(s):  
Mohammed Omer Khojali ◽  
A. S. Cornell ◽  
Aldo Deandrea ◽  
Giacomo Cacciapaglia
Keyword(s):  
Gauge Group ◽  
Gauge Couplings ◽  
Weinberg Angle

GENERALIZATION OF MANTON’S CONSTRUCTION OF THE WEINBERG-SALAM MODEL WITH A GAUSS-BONNET TERM

1992 ◽  
Vol 07 (31) ◽  
pp. 7741-7752 ◽  
Author(s):  
CHRISTINE BERTRAND ◽  
RICHARD KERNER ◽  
SALVATORE MIGNEMI
Keyword(s):  
Gauge Group ◽  
Higgs Mass ◽  
Dimensional Space ◽  
Internal Space ◽  
Yang Mills ◽  
Weinberg Angle ◽  
Definition Of ◽  
The Masses ◽  
Electroweak Model ◽  
Bonnet Term

In a paper1 published in 1979 Manton has derived the bosonic sector of the Weinberg-Salam electroweak model by considering the Yang-Mills Lagrangian on a six-dimensional space M4×S2. The model turned out to be very rigid and identified the Weinberg angle with the angle between two neighbor roots in the Cartan diagram of the gauge group. leading to θW=60° for SU(3), θW=45° for O(5) and θW=30° for G2 and to the equality of the masses of the Z particle and of the Higgs boson. We generalize this model by identifying the Yang-Mills Lagrangian with a part of the Einstein-Hilbert Lagrangian on the fibre bundle P(M4×S2), and by adding to it a Gauss-Bonnet invariant. which produces new terms, quartic and cubic in Fμν. This in turn modifies the definition of the Weinberg angle and the Higgs mass. The new free parameter is the dimensional factor in front of the Gauss-Bonnet term. We discuss the values of MW, MZ and MH in function of this parameter and the radii of the internal space S2 of the gauge group G. Realistic values can be obtained if the Gauss-Bonnet term contributes to the Lagrangian with a negative sign.

scholarly journals Nonassociative gauge fields

2021 ◽  
Vol 36 (23) ◽  
pp. 2150164
Author(s):  
E. K. Loginov
Keyword(s):  
Standard Model ◽  
Gauge Group ◽  
Higgs Mechanism ◽  
Gauge Fields ◽  
The Standard Model ◽  
Weinberg Angle ◽  
Good Agreement

In this paper, we study consequences of the assumption that the gauge group [Formula: see text] of the standard model is a nonassociative image of [Formula: see text]. Such an approach allows us to take a different look at the Higgs mechanism and obtain the value of the Weinberg angle in very good agreement with the experiment.

FRACTIONAL CHARGED COLOR SINGLET STATES AND STRING UNIFICATION

1992 ◽  
Vol 07 (16) ◽  
pp. 1485-1495 ◽  
Author(s):  
DAVID BAILIN ◽  
ALEX LOVE
Keyword(s):  
Gauge Group ◽  
Gauge Coupling ◽  
Low Energy ◽  
Coupling Constants ◽  
Grand Unification ◽  
Color Singlet ◽  
Singlet States ◽  
Gauge Couplings

The question of whether contributions of exotic multiplets of the gauge group to the running of gauge coupling constants from the string scale to low energy can lead to consistency with the precision low energy values of gauge couplings is discussed for theories with SO(6)×SO(4), SU(3)×SU(3)×SU(3) and flipped SU(5)×U(1) grand unification.

scholarly journals THE SU(2) ⊗ U(1) ELECTROWEAK MODEL BASED ON THE NONLINEARLY REALIZED GAUGE GROUP

2009 ◽  
Vol 24 (14) ◽  
pp. 2639-2654 ◽  
Author(s):  
D. BETTINELLI ◽  
R. FERRARI ◽  
A. QUADRI
Keyword(s):  
Gauge Group ◽  
Dimensional Regularization ◽  
Higgs Field ◽  
Landau Gauge ◽  
Tree Level ◽  
Subtraction Procedure ◽  
Local Functional ◽  
Weinberg Angle ◽  
Electroweak Model ◽  
Intermediate Vector

The electroweak model is formulated on the nonlinearly realized gauge group SU (2) ⊗ U (1). This implies that in perturbation theory no Higgs field is present. This paper provides the effective action at the tree level, the Slavnov–Taylor identity (necessary for the proof of physical unitarity), the local functional equation (used for the control of the amplitudes involving the Goldstone bosons) and the subtraction procedure (nonstandard, since the theory is not power-counting renormalizable). Particular attention is devoted to the number of independent parameters relevant for the vector mesons; in fact, there is the possibility of introducing two mass parameters. With this choice the relation between the ratio of the intermediate vector meson masses and the Weinberg angle depends on an extra free parameter. We briefly outline a method for dealing with γ5 in dimensional regularization. The model is formulated in the Landau gauge for sake of simplicity and conciseness. The QED Ward identity has a simple and intriguing form.

GAUGE GROUP AND PHASES OF SUPERFLUID 3He

1978 ◽  
Vol 39 (C6) ◽  
pp. C6-50-C6-52
Author(s):  
V. L. Golo ◽  
M. I. Monastyrsky
Keyword(s):  
Gauge Group ◽  
Superfluid 3He

Phase space of mechanical systems with a gauge group

1991 ◽  
Vol 161 (2) ◽  
pp. 13-75 ◽  
Author(s):  
Lev V. Prokhorov ◽  
Sergei V. Shabanov
Keyword(s):  
Phase Space ◽  
Gauge Group ◽  
Mechanical Systems

scholarly journals Exploring the landscape of CHL strings on Td

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Anamaría Font ◽  
Bernardo Fraiman ◽  
Mariana Graña ◽  
Carmen A. Núñez ◽  
Héctor Parra De Freitas
Keyword(s):  
Gauge Group ◽  
Moduli Space ◽  
Dynkin Diagram ◽  
Fundamental Groups ◽  
Computer Algorithms ◽  
Abelian Gauge ◽  
Reduced Rank ◽  
Systematic Exploration ◽  
String Models ◽  
Simply Connected

Abstract Compactifications of the heterotic string on special Td/ℤ2 orbifolds realize a landscape of string models with 16 supercharges and a gauge group on the left-moving sector of reduced rank d + 8. The momenta of untwisted and twisted states span a lattice known as the Mikhailov lattice II(d), which is not self-dual for d > 1. By using computer algorithms which exploit the properties of lattice embeddings, we perform a systematic exploration of the moduli space for d ≤ 2, and give a list of maximally enhanced points where the U(1)d+8 enhances to a rank d + 8 non-Abelian gauge group. For d = 1, these groups are simply-laced and simply-connected, and in fact can be obtained from the Dynkin diagram of E10. For d = 2 there are also symplectic and doubly-connected groups. For the latter we find the precise form of their fundamental groups from embeddings of lattices into the dual of II(2). Our results easily generalize to d > 2.

scholarly journals Schwarzian quantum mechanics as a Drinfeld-Sokolov reduction of BF theory

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Fridrich Valach ◽  
Donald R. Youmans
Keyword(s):  
Quantum Mechanics ◽  
Partition Function ◽  
Gauge Group ◽  
Path Integral ◽  
Coadjoint Orbits ◽  
Two Dimensional ◽  
Edge States ◽  
Class Constraint ◽  
Action Functional ◽  
Bf Theory

Abstract We give an interpretation of the holographic correspondence between two-dimensional BF theory on the punctured disk with gauge group PSL(2, ℝ) and Schwarzian quantum mechanics in terms of a Drinfeld-Sokolov reduction. The latter, in turn, is equivalent to the presence of certain edge states imposing a first class constraint on the model. The constrained path integral localizes over exceptional Virasoro coadjoint orbits. The reduced theory is governed by the Schwarzian action functional generating a Hamiltonian S1-action on the orbits. The partition function is given by a sum over topological sectors (corresponding to the exceptional orbits), each of which is computed by a formal Duistermaat-Heckman integral.

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