scholarly journals Higgs Scalar Fields and Discrete Symmetry

1995 ◽  
Vol 93 (6) ◽  
pp. 1093-1104 ◽  
Author(s):  
G. Konisi ◽  
T. Saito
Keyword(s):  
Scalar Fields ◽  
Discrete Symmetry ◽  
Higgs Scalar

scholarly journals ON THE QUANTUM CHROMODYNAMICS OF A MASSIVE VECTOR FIELD IN THE ADJOINT REPRESENTATION

2013 ◽  
Vol 28 (14) ◽  
pp. 1350054 ◽  
Author(s):  
ALFONSO R. ZERWEKH
Keyword(s):  
Vector Field ◽  
Quantum Chromodynamics ◽  
Extra Dimensions ◽  
Scalar Fields ◽  
Discrete Symmetry ◽  
Adjoint Representation ◽  
Coupling Constants ◽  
Gauge Symmetries ◽  
Gauge Fixing ◽  
Definition Of

In this paper, we explore the possibility of constructing the quantum chromodynamics of a massive color-octet vector field without introducing higher structures like extended gauge symmetries, extra dimensions or scalar fields. We show that gauge invariance is not enough to constraint the couplings. Nevertheless, the requirement of unitarity fixes the values of the coupling constants, which otherwise would be arbitrary. Additionally, it opens a new discrete symmetry which makes the coloron stable and avoid its resonant production at a collider. On the other hand, a judicious definition of the gauge fixing terms modifies the propagator of the massive field making it well-behaved in the ultraviolet limit. The relation between our model and the more general approach based on extended gauge symmetries is also discussed.

LIGHT TOP QUARK AND LIGHT CHARGED HIGGS REVISITED

1991 ◽  
Vol 06 (37) ◽  
pp. 3375-3383 ◽  
Author(s):  
ANJAN S. JOSHIPURA ◽  
SAURABH D. RINDANI
Keyword(s):  
Top Quark ◽  
Vacuum Expectation ◽  
Scalar Fields ◽  
Discrete Symmetry ◽  
Higgs Bosons ◽  
Expectation Values ◽  
Flavor Changing ◽  
Wide Range ◽  
Down Quark ◽  
Charged Higgs

A model with two Higgs doublets is presented where a discrete symmetry is imposed so that the flavor-changing neutral currents in the down-quark sector are naturally suppressed and obey a hierarchy determined by the hierarchy of the Kobayashi-Maskawa matrix elements. The fermion couplings to charged-Higgs bosons are different from those in models with natural flavor conservation. As a consequence, it is possible to have a light top quark which evades the Tevatron limit by decaying predominantly into a light charged Higgs with mass M H ≤ mt - mb. The model is also consistent with data on ε and [Formula: see text] mixing for a wide range of M H and the ratio of vacuum expectation values of the scalar fields.

A supersymmetric model in three dimensions with two scalar fields

2002 ◽  
Vol 80 (9) ◽  
pp. 1085-1091
Author(s):  
M -P Gagné-Portelance ◽  
D.G.C. McKeon
Keyword(s):  
Renormalization Group ◽  
Scalar Fields ◽  
Discrete Symmetry ◽  
Three Dimensions ◽  
Asymptotic Freedom ◽  
Supersymmetric Model ◽  
Massless Scalar ◽  
Coupling Constant ◽  
Group Functions

We examine a supersymmetric model in three dimensions containing two massless scalar superfields Φ1 and Φ2. The most generalized renormalizable interaction is characterized by two coupling if there is a discrete symmetry Φ1 [Formula: see text] ± Φ2; the renormalization group functions are computed to lowest order for these couplings. It is found that asymptotic freedom for one of these couplings occurs in a region of coupling-constant space. PACS Nos.: 11.30Pb

scholarly journals DISCRETE SYMMETRY, NONCOMMUTATIVE GEOMETRY AND GRAVITY

1994 ◽  
Vol 09 (10) ◽  
pp. 875-883 ◽  
Author(s):  
NOUREDDINE MOHAMMEDI
Keyword(s):  
Noncommutative Geometry ◽  
Vector Fields ◽  
Differential Forms ◽  
Scalar Fields ◽  
Discrete Symmetry ◽  
Space Time ◽  
Orthonormal Frame ◽  
Graded Algebra ◽  
Scalar And Vector Fields ◽  
Torsion Free

We consider gravity using the formalism of a differential Z2-graded algebra of 2 × 2 matrices whose elements are differential forms on space-time. The connection and the orthonormal frame are extended to incorporate additional scalar and vector fields. The extended torsion-free constraints are solved for a simple case. The resulting action describes a set of scalar fields minimally coupled to Einstein-Hilbert gravity.

scholarly journals PHASE TRANSITION IN THE HIGGS MODEL OF SCALAR FIELDS WITH ELECTRIC AND MAGNETIC CHARGES

2001 ◽  
Vol 16 (13) ◽  
pp. 2365-2390 ◽  
Author(s):  
L. V. LAPERASHVILI ◽  
H. B. NIELSEN
Keyword(s):  
Phase Transition ◽  
Critical Point ◽  
Triple Point ◽  
Structure Constant ◽  
Scalar Fields ◽  
Higgs Model ◽  
Fine Structure Constant ◽  
Charged Scalar ◽  
Loop Approximation ◽  
Higgs Scalar

Using a one-loop renormalization group improvement for the effective potential in the Higgs model of electrodynamics with electrically and magnetically charged scalar fields, we argue for the existence of a triple (critical) point in the phase diagram ([Formula: see text]), where λ run is the renormalized running self-interaction constant of the Higgs scalar monopoles and g run is their running magnetic charge. This triple point is a boundary point of three first-order phase transitions in the dual sector of the Higgs scalar electrodynamics: The "Coulomb" and two confinement phases meet together at this critical point. Considering the arguments for the one-loop approximation validity in the region of parameters around the triple point A we have obtained the following triple point values of the running couplings: [Formula: see text], which are independent of the electric charge influence and two-loop corrections to [Formula: see text] with high accuracy of deviations. At the triple point the mass of monopoles is equal to zero. The corresponding critical value of the electric fine structure constant turns out to be [Formula: see text] by the Dirac relation. This value is close to the [Formula: see text], which in a U(1) lattice gauge theory corresponds to the phase transition between the "Coulomb" and confinement phases. In our theory for α ≥ α crit there are two phases for the confinement of the electrically charged particles. The results of the present paper are very encouraging for the antigrand unification theory which was developed previously as a realistic alternative to SUSY GUT's. The paper is also devoted to the discussion of this problem.

scholarly journals Enumeration of Group Invariant Quartic Polynomials in Higgs Scalar Fields

1980 ◽  
Vol 33 (6) ◽  
pp. 941 ◽  
Author(s):  
BG Wybourne
Keyword(s):  
Schur Functions ◽  
Scalar Fields ◽  
Group Invariant ◽  
Quartic Polynomial ◽  
Quartic Polynomials ◽  
Higgs Fields ◽  
Higgs Scalar

The. properties of Schur functions are used to enumerate the terms that must appear in a G-invariant symmetric quartic polynomial constructed from a set of Higgs fields. The importance of classifying Higgs fields as to their orthogonal, symplectic or complex representations is emphasized. The peculiar difficulties associated with symplectic irreps are noted. The groups SUs and SOlO are used to provide examples of the methods developed.

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