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We compute the anomalous divergence of currents associated with global transformations in the antifield formalism, by introducing compensating fields that gauge these transformations. We consider the explicit case of the global axial…

High Energy Physics - Theory · Physics 2008-11-26 Ricardo Amorim , Nelson R. F. Braga , Marc Henneaux

The Higgs-Top model is studied by a non-perturbative variational extension of the Gaussian Effective Potential that incorporates fermions. In the limit of a very strong Yukawa coupling the one-loop result is shown to follow a…

High Energy Physics - Phenomenology · Physics 2012-11-05 Fabio Siringo

Spontaneously broken gauge theories are described as a perturbation of selfdual gauge theory. Instead of the incorporation of scalar degrees of freedom, the massive component of the gauge field is obtained from an anti-selfdual field…

High Energy Physics - Theory · Physics 2007-05-23 Gordon Chalmers

We study surface growth models exhibiting anomalous scaling of the local surface fluctuations. An analytical approach to determine the local scaling exponents of continuum growth models is proposed. The method allows to predict when a…

Statistical Mechanics · Physics 2009-10-31 Juan M. Lopez

The principal sigma model and Abelian gauge fields coupling is studied. By expressing the first-order formulation of the gauge field equations an implicit on-shell scalar-gauge field decoupling structure is revealed. It is also shown that…

High Energy Physics - Theory · Physics 2010-11-11 Nejat Tevfik Yilmaz

In this thesis we study some theoretical and phenomenological aspects of classical conformal symmetry in specific extensions of the SM. We consider both supersymmetric and non supersymmetric cases. We discuss the perturbative structure of…

High Energy Physics - Phenomenology · Physics 2017-04-12 Antonio Costantini

The operator solution of the anomalous chiral Schwinger model is discussed on the basis of the general principles of Wightman field theory. Some basic structural properties of the model are analyzed taking a careful control on the Hilbert…

High Energy Physics - Theory · Physics 2008-02-03 C. G. Carvalhaes , L. V. Belvedere , C. P. Natividade , H. Boschi Filho

We present a consistent derivation of the complete Wess-Zumino-Witten interactions of axions, including the counter-term necessary to guarantee the gauge invariance of the Standard Model. By treating the derivative of the axion field as a…

High Energy Physics - Phenomenology · Physics 2026-05-28 Yang Bai , Ting-Kuo Chen , Jia Liu , Xiaolin Ma

In the context of algebraic renormalization, the extended antifield formalism is used to derive the general forms of the anomaly consistency condition and of the Callan-Symanzik equation for generic gauge theories. A local version of the…

High Energy Physics - Theory · Physics 2016-09-06 Glenn Barnich

Supersymmetric nonlinear sigma models are obtained from linear sigma models by imposing supersymmetric constraints. If we introduce auxiliary chiral and vector superfields, these constraints can be expressed by D-terms and F-terms depending…

High Energy Physics - Theory · Physics 2009-10-31 Kiyoshi Higashijima , Muneto Nitta

Spontaneous chiral symmetry breaking and axial anomaly are studied in the light-front formulation. The existence of multiple vacua and a Nambu-Goldstone boson, both related to dynamical fermion zero modes, are demonstrated within a simple…

High Energy Physics - Theory · Physics 2009-10-31 L. Martinovic , J. P. Vary

We consider the gauged model of Siegel type chiral boson with a Lorentz non-covariant mass-like term for the gauge fields which is found to be equivalent to the chiral Schwinger model with Faddeevian anomaly when it is described in terms of…

High Energy Physics - Theory · Physics 2020-07-10 Shahin Absar , Sanjib Ghoshal , Anisur Rahaman

Within the framework of algebraic quantum field theory, we propose a new method of constructing local generators of (global) gauge symmetries in field theoretic models, starting from the existence of unitary operators implementing locally…

Mathematical Physics · Physics 2010-03-04 Gerardo Morsella , Luca Tomassini

In this study, we first heuristically construct the charges corresponding to the chiral transformation associated with the large U(1) gauge symmetry. We refer to these as the large chiral charges, and to the chiral transformation they…

High Energy Physics - Theory · Physics 2026-02-18 Shingo Takeuchi

The conservation of the vector current and the axial anomaly responsible for the $\pi_0 \to \gamma \gamma$ decay amplitude are obtained in leading order within the Taylor-Lagrange formulation of fields considered as operator-valued…

High Energy Physics - Phenomenology · Physics 2020-05-08 Pierre Grangé , Jean-François Mathiot , Ernst Werner

We summarize recent work on the characterization of anomaly poles in connection with the field-theory interpretation of the Green-Schwarz mechanism of anomaly cancellation and on their effective field theories, stressing on the properties…

High Energy Physics - Phenomenology · Physics 2014-11-20 Roberta Armillis , Claudio Coriano , Luigi Delle Rose

The gauging of isometries in general sigma-models which include fermionic terms which represent the interaction of strings with background Yang-Mills fields is considered. Gauging is possible only if certain obstructions are absent. The…

High Energy Physics - Theory · Physics 2011-07-19 C. M. Hull

We consider an anomaly free extension of the standard model gauge group $G_{\rm SM}$ by an abelian group to $G_{\rm SM}\otimes U(1)_Z$. The condition of anomaly cancellation is known to fix the $Z$-charges of the particles, but two. We fix…

High Energy Physics - Phenomenology · Physics 2019-07-02 Zoltan Trocsanyi

The Higgs-Yukawa model in curved spacetime (renormalizable in the usual sense) is considered near the critical point, employing the $1/N$--expansion and renormalization group techniques. By making use of the equivalence of this model with…

High Energy Physics - Theory · Physics 2016-09-06 E. Elizalde , S. D. Odintsov

For singular corank 1 surfaces in $\mathbb R^3$ we introduce a distinguished normal vector called the axial vector. Using this vector and the curvature parabola we define a new type of curvature called the axial curvature, which generalizes…

Differential Geometry · Mathematics 2019-11-21 Raúl Oset Sinha , Kentaro Saji
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