Wess-Zumino-type effective action for technions with light gauge bosons in a chiral-anomaly technicolor model

1989 ◽  
Vol 39 (1) ◽  
pp. 354-357 ◽  
Author(s):  
Zhang Jian-zu
Keyword(s):  
Effective Action ◽  
Chiral Anomaly ◽  
Gauge Bosons ◽  
Technicolor Model

Obtaining the chiral anomaly from an effective action

1981 ◽  
Vol 23 (6) ◽  
pp. 1361-1364
Author(s):  
H. Arthur Weldon
Keyword(s):  
Effective Action ◽  
Chiral Anomaly

scholarly journals Nonperturbative one-loop effective action for QED with Yukawa couplings

2018 ◽  
Vol 33 (27) ◽  
pp. 1850157 ◽  
Author(s):  
Theodore N. Jacobson ◽  
Tonnis ter Veldhuis
Keyword(s):  
Effective Action ◽  
Proper Time ◽  
Background Field ◽  
Field Approximation ◽  
Chiral Anomaly ◽  
Dirac Fermion ◽  
Yukawa Couplings ◽  
Time Formalism ◽  
The One ◽  
The Relationship

We derive the one-loop effective action for scalar, pseudoscalar, and electromagnetic fields coupled to a Dirac fermion in an extension of QED with Yukawa couplings. Using the Schwinger proper-time formalism and zeta-function regularization, we calculate the full nonperturbative effective action to one loop in the constant background field approximation. Our result is nonperturbative in the external fields, and goes beyond existing results in the literature which treat only the first nontrivial order involving the pseudoscalar. The result has an even and odd part, which are related to the modulus and phase of the fermion functional determinant. The even contribution to the effective action involves the modulus of the effective Yukawa couplings and is invariant under global chiral transformations while the odd contribution is proportional to the angle between the scalar and pseudoscalar couplings. In different limits the effective action reduces either to the Euler–Heisenberg effective action or the Coleman–Weinberg potential. We also comment on the relationship between the odd part of the effective action and the chiral anomaly in QED.

Effective action for supersymmetric chiral anomaly

1986 ◽  
Vol 69 (2) ◽  
pp. 1093-1101
Author(s):  
V. K. Krivoshchekov ◽  
L. O. Chekhov
Keyword(s):  
Effective Action ◽  
Chiral Anomaly

MASSIVE FERMION AND CHIRAL GAUGE SYMMETRY

1990 ◽  
Vol 05 (31) ◽  
pp. 2607-2613 ◽  
Author(s):  
SINYA AOKI
Keyword(s):  
Gauge Symmetry ◽  
Effective Action ◽  
Gauge Theories ◽  
Opposite Sign ◽  
Chiral Anomaly ◽  
Fermion Mass ◽  
Mass Limit ◽  
Massive Fermion ◽  
Dependent Term ◽  
Mass Dependent

A mass-dependent odd-parity term in the effective action of chiral gauge theories as well as the usual mass-independent chiral anomaly have been shown to exist. In particular, this mass-dependent term is equal to the anomaly with opposite sign in the limit of infinite fermion mass, and therefore no odd-parity term remains in this limit. We also consider the different regularizations which produce the Wess-Zumino term in the infinite fermion mass limit.

THE EFFECTIVE ACTION FOR COMPOSITE HIGGS PARTICLES

1992 ◽  
Vol 07 (30) ◽  
pp. 7561-7578
Author(s):  
STEPHAN SIEGEMUND-BROKA
Keyword(s):  
Effective Action ◽  
Dyson Equation ◽  
The Self ◽  
Composite Fermion ◽  
Gauge Bosons ◽  
Scalar Particles ◽  
Composite Higgs ◽  
Gauge Symmetries ◽  
Background Fields ◽  
Higgs Fields

There is reason to believe that massive composite (fermion-antifermion) scalar particles closely resembling the usual fundamental scalar Higgs fields exist in theories with dynamically broken gauge symmetries. This composite Higgs couples directly to the fermions in proportion to their symmetry-violating self-energies. Induced couplings to the gauge bosons and self-couplings are calculated as loop effects. This involves deriving the effective action in terms of the full propagators and background fields. The couplings between the composite Higgs and the gauge bosons are the same as those in models with fundamental scalars. The self-couplings are determined and fix all parameters associated with the composite scalars. Comments regarding extending this work to higher orders and concerning the symmetry-violating solutions to the fermion Schwinger-Dyson equation are given.

TOPOLOGICAL ASPECTS OF CHIRAL ANOMALY, ORIGIN OF MASS AND ELECTROWEAK THEORY

2000 ◽  
Vol 15 (26) ◽  
pp. 4107-4123 ◽  
Author(s):  
PRATUL BANDYOPADHYAY
Keyword(s):  
Weak Interaction ◽  
Group Structure ◽  
Chiral Anomaly ◽  
Gauge Bosons ◽  
Lepton Current ◽  
Neutral Lepton ◽  
Current Interaction ◽  
Weinberg Angle ◽  
Very High ◽  
Higgs Scalar

It is here shown that the topological property of a fermion which gives rise to the fermion number and is related to chiral anomaly may be taken to lead to weak interaction gauge bosons when currents are written in chiral form. The gauge bosons attain mass topologically through the generation of internal helicities and thus no Higgs scalar is needed to have spontaneous symmetry breaking. Moreover the group structure SU(2)×U(1) is inbuilt here for electroweak unification. The Weinberg angle gets a physical meaning and strangeness changing neutral lepton current interaction is automatically forbidden. This formalism also suggests that at very high temperature, weak interaction will be of long range in nature.

Old wine in a new bottle: Technidilaton as the 125 GeV Higgs

2017 ◽  
Vol 32 (36) ◽  
pp. 1747026
Author(s):  
Koichi Yamawaki
Keyword(s):  
Sigma Model ◽  
Local Symmetry ◽  
Effective Theory ◽  
Nonlinear Sigma Model ◽  
Scale Invariant ◽  
Gauge Bosons ◽  
Strongly Coupled ◽  
Technicolor Model ◽  
Vector Bosons ◽  
The One

The first Nagoya SCGT workshop back in 1988 (SCGT 88) was motivated by the walking technicolor and technidilaton. Now at SCGT15 I returned to the “old wine” in “a new bottle”, the recently discovered 125 Higgs boson as the technidilaton. We show that the Standard Model (SM) Higgs Lagrangian is identical to the nonlinear realization of both the scale and chiral symmetries (“scale-invariant nonlinear sigma model”), and is further gauge equivalent to the “scale-invariant Hidden Local Symmetry (HLS) model” having possible new vector bosons as the HLS gauge bosons with scale-invariant mass: SM Higgs is nothing but a (pseudo) dilaton. The effective theory of the walking technicolor has precisely the same type of the scale-invariant nonlinear sigma model, thus further having the scale-invariant HLS gauge bosons (technirho’s, etc.). The technidilaton mass [Formula: see text] comes from the trace anomaly, which yields [Formula: see text] via PCDC, in the underlying walking [Formula: see text] gauge theory with [Formula: see text] massless flavors, where [Formula: see text] is the the decay constant and [Formula: see text]. This implies [Formula: see text] for [Formula: see text] in the one-family walking technicolor model [Formula: see text], in good agreement with the current LHC Higgs data. In the anti-Veneziano limit, [Formula: see text], with [Formula: see text]fixed and [Formula: see text]fixed [Formula: see text], we have a result: [Formula: see text]. Then the technidilaton is a naturally light composite Higgs out of the strongly coupled conformal dynamics, with its couplings even weaker than the SM Higgs. Related holographic and lattice results are also discussed. In particular, such a light flavor-singlet scalar does exists in the lattice simulations in the walking regime.

scholarly journals A SUPERSTRUCTURE OVER THE FARHI–SUSSKIND TECHNICOLOR MODEL

2010 ◽  
Vol 25 (09) ◽  
pp. 679-689
Author(s):  
M. A. ZUBKOV
Keyword(s):  
Standard Model ◽  
Gauge Group ◽  
Discrete Symmetry ◽  
Chiral Anomaly ◽  
Technicolor Model ◽  
The Standard Model

We suggest the model with the gauge group ⋯ ⊗ SU(6)⊗ SU(5) ⊗ SU(4)⊗ SU(3)⊗ SU(2)⊗ U(1) . This group is the infinite continuation of the gauge group SU(4)⊗ SU(3)⊗ SU(2) ⊗ U(1) of Farhi–Susskind model. The constructed model contains fermions from the fundamental representations of any SU (N) subgroups of the gauge group. In the construction of the model we use essentially the requirement that it possesses an additional discrete symmetry [Formula: see text] that is the continuation of the Z6 symmetry of the Standard Model. It has been found that there exists such a choice of the hypercharges of the fermions that the chiral anomaly is absent while the symmetry [Formula: see text] is preserved.

scholarly journals Effective action for gauge bosons

2019 ◽  
Vol 99 (1) ◽  
Author(s):  
Jérémie Quevillon ◽  
Christopher Smith ◽  
Selim Touati
Keyword(s):  
Effective Action ◽  
Gauge Bosons

THE BACKGROUND FIELD METHOD AND THE ANOMALIES OF THE HETEROTIC σ-MODEL IN A CURVED (1, 0) SUPERSPACE

1991 ◽  
Vol 06 (17) ◽  
pp. 2971-2998 ◽  
Author(s):  
S.V. KETOV ◽  
O.A. SOLOVIEV
Keyword(s):  
Effective Action ◽  
Background Field ◽  
Field Method ◽  
Low Energy ◽  
Heterotic String ◽  
Explicit Calculation ◽  
Two Dimensional ◽  
Gauge Bosons ◽  
Background Field Method ◽  
Background Fields

The covariant (in the σ-model sense) background field method for calculating the anomalies of the heterotic string propagating on the background of its massless modes is developed in a curved superspace of the two-dimensional (1, 0) supergravity. As the massless background fields, we use a metric, an antisymmetric tensor, a dilaton and gauge bosons. Explicit calculation of the anomalies up to five loops is performed and the results are found to be in agreement with the known facts about the heterotic string low-energy effective action. The dilaton-dependent corrections to the anomalies at the two- and three-loop levels are shown to be absent.

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