scholarly journals QUANTIZATION OF CHIRAL ANTISYMMETRIC TENSOR FIELDS

2008 ◽  
Vol 23 (10) ◽  
pp. 1545-1579 ◽  
Author(s):  
C. WETTERICH
Keyword(s):  
Mass Term ◽  
Antisymmetric Tensor ◽  
Gauge Fields ◽  
Electroweak Symmetry ◽  
Tensor Fields ◽  
Hierarchy Problem ◽  
Free Theory ◽  
Massive Spin ◽  
Gauge Hierarchy ◽  
Unstable Solutions

Chiral antisymmetric tensor fields can have chiral couplings to quarks and leptons. Their kinetic terms do not mix different representations of the Lorentz symmetry and a local mass term can be forbidden by symmetry. The chiral couplings to the fermions are asymptotically free, opening interesting perspectives for a possible solution to the gauge hierarchy problem. We argue that the interacting theory for such fields can be consistently quantized, in contrast to the free theory which is plagued by unstable solutions. We suggest that at the scale where the chiral couplings grow large the electroweak symmetry is spontaneously broken and a mass term for the chiral tensors is generated nonperturbatively. Massive chiral tensors correspond to massive spin-one particles that do not have problems of stability. We also propose an equivalent formulation in terms of gauge fields.

scholarly journals CHIRAL TENSOR FIELDS AND SPONTANEOUS BREAKING OF LORENTZ SYMMETRY

2008 ◽  
Vol 23 (26) ◽  
pp. 4345-4359 ◽  
Author(s):  
JAN-MARKUS SCHWINDT ◽  
CHRISTOF WETTERICH
Keyword(s):  
Top Quark ◽  
Lorentz Invariance ◽  
Beta Function ◽  
Antisymmetric Tensor ◽  
Spontaneous Breaking ◽  
Tensor Fields ◽  
Hierarchy Problem ◽  
Running Coupling ◽  
Gauge Hierarchy ◽  
The One

Antisymmetric tensor fields interacting with quarks and leptons have been proposed as a possible solution to the gauge hierarchy problem. We compute the one-loop beta function for a quartic self-interaction of the chiral antisymmetric tensor fields. Fluctuations of the top quark drive the corresponding running coupling to a negative value as the renormalization scale is lowered. This may indicate a nonvanishing expectation value of the tensor field, and thus a spontaneous breaking of Lorentz invariance. Settling this issue will need the inclusion of tensor loops.

scholarly journals CHIRAL FREEDOM AND THE SCALE OF WEAK INTERACTIONS

2008 ◽  
Vol 23 (09) ◽  
pp. 677-684 ◽  
Author(s):  
C. WETTERICH
Keyword(s):  
Gauge Symmetry ◽  
Tensor Field ◽  
Weak Interactions ◽  
Mass Term ◽  
Spontaneous Breaking ◽  
Hierarchy Problem ◽  
Dimensional Transmutation ◽  
Gauge Hierarchy ◽  
Antisymmetric Tensor Field ◽  
Higgs Scalar

A second rank antisymmetric tensor field is proposed as an alternative to the Higgs scalar. No mass term is allowed by the symmetries. At the scale where the asymptotically free chiral couplings of the fermions grow large, condensates of top–antitop and bottom–antibottom may induce the spontaneous breaking of the electroweak gauge symmetry. This would solve the gauge hierarchy problem by dimensional transmutation, similar to QCD.

scholarly journals Gauge × gauge = gravity on homogeneous spaces using tensor convolutions

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
L. Borsten ◽  
I. Jubb ◽  
V. Makwana ◽  
S. Nagy
Keyword(s):  
Homogeneous Spaces ◽  
Gauge Fields ◽  
Convolution Product ◽  
Tensor Fields ◽  
Einstein Universe ◽  
Gauge Transformations ◽  
Yang Mills ◽  
Static Einstein Universe ◽  
Definition Of ◽  
Gauge Gravity

Abstract A definition of a convolution of tensor fields on group manifolds is given, which is then generalised to generic homogeneous spaces. This is applied to the product of gauge fields in the context of ‘gravity = gauge × gauge’. In particular, it is shown that the linear Becchi-Rouet-Stora-Tyutin (BRST) gauge transformations of two Yang-Mills gauge fields generate the linear BRST diffeomorphism transformations of the graviton. This facilitates the definition of the ‘gauge × gauge’ convolution product on, for example, the static Einstein universe, and more generally for ultrastatic spacetimes with compact spatial slices.

Massive totally antisymmetric tensor fields, a systematic study

1987 ◽  
Vol 97 (2) ◽  
pp. 141-169
Author(s):  
A. Z. Capri ◽  
M. Kobatashi
Keyword(s):  
Systematic Study ◽  
Antisymmetric Tensor ◽  
Tensor Fields

scholarly journals Antisymmetric tensor fields in Randall–Sundrum thick branes

2010 ◽  
Vol 693 (4) ◽  
pp. 503-508 ◽  
Author(s):  
G. Alencar ◽  
R.R. Landim ◽  
M.O. Tahim ◽  
C.R. Muniz ◽  
R.N. Costa Filho
Keyword(s):  
Antisymmetric Tensor ◽  
Tensor Fields ◽  
Thick Branes

Strings and Antisymmetric Tensor Fields

1989 ◽  
Vol 501 (6) ◽  
pp. 439-444 ◽  
Author(s):  
S. N. Solodukhin
Keyword(s):  
Antisymmetric Tensor ◽  
Tensor Fields

scholarly journals Vortex Dynamics of Charge Carriers in the Quasi-Relativistic Graphene Model: High-Energy k → · p → Approximation

Symmetry ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 261 ◽  
Author(s):  
Halina Grushevskaya ◽  
George Krylov
Keyword(s):  
Band Structure ◽  
Cyclic Group ◽  
Vortex Dynamics ◽  
Mass Term ◽  
High Energy ◽  
Charge Carriers ◽  
Gauge Fields ◽  
Hamiltonian Approach ◽  
Relativistic Model

Within the earlier developed high-energy- k → · p → -Hamiltonian approach to describe graphene-like materials, the simulations of non-Abelian Zak phases and band structure of the quasi-relativistic graphene model with a number of flavors N = 3 have been performed in approximations with and without gauge fields (flavors). It has been shown that a Zak-phases set for non-Abelian Majorana-like excitations (modes) in Dirac valleys of the quasi-relativistic graphene model is the cyclic group Z 12 . This group is deformed into Z 8 at sufficiently high momenta due to deconfinement of the modes. Since the deconfinement removes the degeneracy of the eightfolding valleys, Weyl nodes and antinodes emerge. We offer that a Majorana-like mass term of the quasi-relativistic model affects the graphene band structure in the following way. Firstly, the inverse symmetry emerges in the graphene model with Majorana-like mass term, and secondly the mass term shifts the location of Weyl nodes and antinodes into the region of higher energies.

scholarly journals A particle mechanics description of antisymmetric tensor fields

1989 ◽  
Vol 6 (8) ◽  
pp. 1125-1140 ◽  
Author(s):  
P Howe ◽  
S Penati ◽  
M Pernici ◽  
P K Townsend
Keyword(s):  
Antisymmetric Tensor ◽  
Tensor Fields ◽  
Particle Mechanics

scholarly journals PERTURBATION THEORY FOR ANTISYMMETRIC TENSOR FIELDS IN FOUR DIMENSIONS

1993 ◽  
Vol 08 (05) ◽  
pp. 929-945 ◽  
Author(s):  
N. MAGGIORE ◽  
S.P. SORELLA
Keyword(s):  
Perturbation Theory ◽  
Topological Field Theories ◽  
Field Theories ◽  
Antisymmetric Tensor ◽  
Tensor Fields ◽  
Four Dimensions ◽  
Topological Field ◽  
Supersymmetric Structure

Perturbation theory for a class of topological field theories containing antisymmetric tensor fields is considered. These models are characterized by a supersymmetric structure which allows us to establish their perturbative finiteness.

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