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We present concrete evidence that Yang-Mills theory exhibits non-unitarity in non-integer spacetime dimensions. This violation of unitarity stems from evanescent operators that, while vanishing in four dimensions, are non-zero in general d…

高能物理 - 理论 · 物理学 2024-05-24 Qingjun Jin , Ke Ren , Gang Yang , Rui Yu

The Yang-Mills theory with noncommutative fields is constructed following Hamiltonian and lagrangean methods. This modification of the standard Yang-Mills theory shed light on the confinement mechanism viewed as a Lorentz invariance…

高能物理 - 理论 · 物理学 2009-11-11 H. Falomir , J. Gamboa , J. Lopez-Sarrion , F. Mendez , A. J. da Silva

Radiative corrections arising from the axial coupling of charged fermions to a constant vector b_\mu can induce a Lorentz- and CPT-violating Chern-Simons term in the QED action. We calculate the exact one-loop correction to this term…

高能物理 - 理论 · 物理学 2009-10-31 M. Perez-Victoria

We analyze the unitarity of a non-relativistic non-commutative scalar field theory. We show that electric backgrounds spoil unitarity while magnetic ones do not. Furthermore, unlike its relativistic counterparts, unitarity can not be…

高能物理 - 理论 · 物理学 2014-11-18 Toni Mateos , Alex Moreno

The renormalization of quantum field theories usually assumes Lorentz and gauge symmetries, besides the general restrictions imposed by unitarity and causality. However, the set of renormalizable theories can be enlarged by relaxing some of…

高能物理 - 理论 · 物理学 2023-02-14 B. Altschul , L. C. T. Brito , J. C. C. Felipe , S. Karki , A. C. Lehum , A. Yu. Petrov

The finiteness properties of the N=4 supersymmetric Yang-Mills theory are reanalyzed both in the component formulation and using N=1 superfields, in order to discuss some subtleties that emerge in the computation of gauge dependent…

高能物理 - 理论 · 物理学 2009-10-31 Stefano Kovacs

Classically supersymmetric Wilson loop on a null polygonal contour possesses all symmetries required to match it onto non-MHV amplitudes in maximally supersymmetric Yang-Mills theory. However, to define it quantum mechanically, one is…

高能物理 - 理论 · 物理学 2015-06-04 A. V. Belitsky

In this paper we show that Yang-Mills theory in the Curci-Ferrari-Delbourgo-Jarvis gauge admits some up to now unknown local linear Ward identities. These identities imply some non-renormalization theorems with practical simplifications for…

高能物理 - 理论 · 物理学 2009-03-24 Matthieu Tissier , Nicolas Wschebor

A composite non-abelian model $SU(N) \times SU(N)$ is proposed as possible extension of the Yang-Mills symmetry. We obtain the corresponding gauge symmetry of the model and the most general lagrangian invariant by $SU(N) \times SU(N)$. The…

高能物理 - 理论 · 物理学 2016-12-23 M. J. Neves , R. Doria

We present a very simple and explicit procedure for nonlocalizing the action of any theory which can be formulated perturbatively. When the resulting nonlocal field theory is quantized using the functional formalism --- with unit measure…

高能物理 - 理论 · 物理学 2009-10-22 Gary Kleppe , R. P. Woodard

I briefly review some general features and some recent developments concerning the resummation of long-distance singularities in QCD and in more general non-abelian gauge theories. I emphasize the field-theoretical tools of the trade, and…

高能物理 - 唯象学 · 物理学 2009-11-13 Lorenzo Magnea

We propose an all orders beta function for ordinary Yang-Mills theories with or without fermions inspired by the Novikov-Shifman-Vainshtein-Zakharov beta function of N=1 supersymmetric gauge theories. The beta function allows us to bound…

高能物理 - 理论 · 物理学 2008-11-07 Thomas A. Ryttov , Francesco Sannino

We discuss why the Slavnov higher covariant derivative regularization appeared to be an excellent instrument for investigating quantum corrections in supersymmetric gauge theories. For example, it allowed to demonstrate that the…

高能物理 - 理论 · 物理学 2020-12-01 Konstantin Stepanyantz

We consider an abelian gauge theory with spontaneously broken symmetry containing a scalar-fermion coupling which is non-linear in the Higgs field. Although in the unitary gauge it reduces to a pure Yukawa term, suggesting that the theory…

高能物理 - 理论 · 物理学 2007-05-23 Nistor Nicolaevici

We show that U(N) Yang-Mills theory on noncommutative Minkowski space-time can be renormalized, in a BRS invariant way, at the one-loop level, by multiplicative dimensional renormalization of its coupling constant, its gauge parameter and…

高能物理 - 理论 · 物理学 2009-10-31 C. P. Martin , D. Sanchez-Ruiz

This review covers a number of applications of conformal field theory methods for perturbative calculations in N=4 Super Yang-Mills and ABJM theory. After motivating the role of superconformal symmetry for elementary particle physics…

高能物理 - 理论 · 物理学 2012-12-21 Konstantin Wiegandt

We analyze the unitarity of a modified QED with higher-order terms that violate Lorentz symmetry. We make an explicit calculation to verify unitarity at the one-loop level. As expected we find negative norm states that could in principle…

高能物理 - 唯象学 · 物理学 2014-03-26 Markos Maniatis , Carlos M. Reyes

Monopole field configurations have been extensively studied in both Abelian and non-Abelian gauge theories. The question of the quantum corrections to these systems is a difficult one, since the classical monopoles have non-perturbatively…

高能物理 - 理论 · 物理学 2007-05-23 V. Dzhunushaliev , D. Singleton

Kaluza-Klein compactifications of higher dimensional Yang-Mills theories contain a number of four dimensional scalars corresponding to the internal components of the gauge field. While at tree-level the scalar zero modes are massless, it is…

高能物理 - 理论 · 物理学 2009-09-16 Luigi Del Debbio , Eoin Kerrane , Rodolfo Russo

In the present work, multiplicative renormalization \cite{dixon} for Yang-Mills theories is reviewed. While this subject is not new, it is suggested that a clear understanding of these methods leads to a systematic way for interpreting the…

高能物理 - 理论 · 物理学 2025-06-10 Osvaldo Santillán , Alejandro Morano
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