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 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 The Bargmann-Wigner equations in spherical space

2006 ◽  
Vol 84 (1) ◽  
pp. 37-52
Author(s):  
D.G.C. McKeon ◽  
T N Sherry
Keyword(s):  
Gauge Invariance ◽  
Wave Equations ◽  
Antisymmetric Tensor ◽  
Spherical Space ◽  
Point Function ◽  
Tensor Fields ◽  
Abelian Gauge ◽  
Five Dimensions ◽  
Spherical Surfaces ◽  
The One

The Bargmann–Wigner formalism is adapted to spherical surfaces embedded in three to eleven dimensions. This is demonstrated to generate wave equations in spherical space for a variety of antisymmetric tensor fields. Some of these equations are gauge invariant for particular values of the parameters characterizing them. For spheres embedded in three, four, and five dimensions, this gauge invariance can be generalized so as to become non-Abelian. This non-Abelian gauge invariance is shown to be a property of second-order models for two index antisymmetric tensor fields in any number of dimensions. The O(3) model is quantized and the two-point function is shown to vanish at the one-loop order.PACS No.: 11.30–j

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.

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 HETEROTIC T-DUALITY AND THE RENORMALIZATION GROUP

1999 ◽  
Vol 14 (14) ◽  
pp. 2257-2271 ◽  
Author(s):  
KASPER OLSEN ◽  
RICARDO SCHIAPPA
Keyword(s):  
Renormalization Group ◽  
Sigma Models ◽  
Sigma Model ◽  
Beta Function ◽  
Target Space ◽  
Loop Order ◽  
Duality Transformations ◽  
Duality Symmetry ◽  
The One ◽  
Renormalization Group Flows

We consider target space duality transformations for heterotic sigma models and strings away from renormalization group fixed points. By imposing certain consistency requirements between the T-duality symmetry and renormalization group flows, the one-loop gauge beta function is uniquely determined, without any diagram calculations. Classical T-duality symmetry is a valid quantum symmetry of the heterotic sigma model, severely constraining its renormalization flows at this one-loop order. The issue of heterotic anomalies and their cancellation is addressed from this duality constraining viewpoint.

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 Electroweak fermion triangle loop contributions to the muon anomalous magnetic moment revisited

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Ken Sasaki
Keyword(s):  
Magnetic Moment ◽  
Top Quark ◽  
Anomalous Magnetic Moment ◽  
Ward Identity ◽  
Axial Vector ◽  
Goldstone Boson ◽  
Muon Anomalous Magnetic Moment ◽  
Feynman Gauge ◽  
Unitary Gauge ◽  
The One

Abstract The contribution to the muon anomalous magnetic moment from the fermion triangle loop diagrams connected to the muon line by a photon and a $Z$ boson is re-analyzed in both the unitary gauge and the ’t Hooft–Feynman gauge. With use of the anomalous axial-vector Ward identity, it is shown that the calculation in the unitary gauge exactly coincides with the one in the ’t Hooft–Feynman gauge. The part which arises from the ordinary axial-vector Ward identity corresponds to the contribution of the neutral Goldstone boson. For the top-quark contribution, the one-parameter integral form is obtained up to the order of $m_\mu^2/m_Z^2$. The results are compared with those obtained by the asymptotic expansion method.

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
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