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We show that dualization of Stueckelberg-like massive gauge theories and $B\wedge F$ models, follows form a general p-dualization of interacting theories in d spacetime dimensions. This is achieved by a particular choice of the external…

High Energy Physics - Theory · Physics 2009-10-31 A. Smailagic , E. Spallucci

Germs of tubular neighborhood embeddings for submanifolds N of manifolds M are in one-one correspondence with germs of Euler-like vector fields near N. In many contexts, this reduces the proof of `normal forms results' for geometric…

Differential Geometry · Mathematics 2024-11-28 Eckhard Meinrenken

We introduce functional degrees of freedom by a new gauge principle related to the phase of the wave functional. Thereby, quantum mechanical systems are seen as dissipatively embedded part of a nonlinear classical structure producing…

Quantum Physics · Physics 2007-05-23 Hans-Thomas Elze

"Physical theories of fundamental significance tend to be gauge theories. These are theories in which the physical system being dealt with is described by more variables than there are physically independent degree of freedom. The…

Classical Physics · Physics 2007-05-23 Germain Rousseaux

This paper is devoted to study gauge embedding of either commutative and noncommutative theories in the framework of the symplectic formalism. We illustrate our ideas in the Proca model, the irrotational fluid model and the noncommutative…

High Energy Physics - Theory · Physics 2009-11-10 Clifford Neves , Wilson Oliveira , Davi C. Rodrigues , Clovis Wotzasek

Entanglement entropy (EE) in interacting field theories has two important issues: renormalization of UV divergences and non-Gaussianity of the vacuum. In this letter, we investigate them in the framework of the two-particle irreducible…

High Energy Physics - Theory · Physics 2021-05-21 Satoshi Iso , Takato Mori , Katsuta Sakai

We continue the program by investigating symmetric structures underlying features of the Standard Model. We then expand the symmetry to encompass translations before contraction. A field theory model emerges with the goal of replicating a…

High Energy Physics - Theory · Physics 2024-01-24 Luis Alberto Wills-Toro

In this paper the relation between 2d topological gauge theories and Bethe Ansatz equations is reviewed. In addition we present some new results and clarifications. We hope the relations discussed here are particular examples of more…

High Energy Physics - Theory · Physics 2007-11-12 Anton A. Gerasimov , Samson L. Shatashvili

To reduce the rapidly growing computational cost of the dual fermion lattice calculation with increasing system size, we introduce two embedding schemes. One is the real fermion embedding, and the other is the dual fermion embedding. Our…

Strongly Correlated Electrons · Physics 2013-12-09 S. -X. Yang , H. Terletska , Z. Y. Meng , J. Moreno , M. Jarrell

We review the recently discovered duality between color and kinematics in gauge theories. This duality leads to a remarkably simple double-copy relation between diagrammatic numerators of gravity scattering amplitudes and gauge-theory ones.…

High Energy Physics - Theory · Physics 2010-12-13 Z. Bern , J. J. M. Carrasco , H. Johansson

The complete set of two-loop renormalization group equations in general gauge field theories is presented. This includes the \beta functions of parameters with and without a mass dimension.

High Energy Physics - Phenomenology · Physics 2009-11-07 Mingxing Luo , Huawen Wang , Yong Xiao

A field-enlarging transformation in the chiral electrodynamics is performed. This introduces an additional gauge symmetry to the model that is unitary and anomaly-free and allows for comparison of different models discussed in the…

High Energy Physics - Theory · Physics 2015-06-26 Jan Sladkowski

Most phenomenologically acceptable supersymmetric models imply breaking of supersymmetry in a separate sector of fields introduced just for this purpose. Supersymmetry breaking is transferred to the Standard Model due to a certain…

High Energy Physics - Phenomenology · Physics 2010-12-17 S. L. Dubovsky , D. S. Gorbunov , S. V. Troitsky

The models of triangulated random surfaces embedded in (extended) Dynkin diagrams are formulated as a gauge-invariant matrix model of Weingarten type. The double scaling limit of this model is described by a collective field theory with…

High Energy Physics - Theory · Physics 2010-11-01 I. Kostov

We study gauge theories with N=1 supersymmetry in 2+1 dimensions. We start by calculating the 1-loop effective superpotential for matter in an arbitrary representation. We then restrict ourselves to gauge theories with fundamental matter.…

High Energy Physics - Theory · Physics 2018-11-14 Changha Choi , Martin Rocek , Adar Sharon

The effects of extra dimensions on gauge coupling unification is studied. We start with a comparison between power law running of the gauge couplings in models with extra dimensions and logarithmic running that happens in many realistic…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Pérez-Lorenzana , R. N. Mohapatra

We discuss the formulation of the prototype gauge field theory, QED, in the context of two-particle-irreducible (2PI) functional techniques with particular emphasis on the issues of renormalization and gauge symmetry. We show how to…

High Energy Physics - Phenomenology · Physics 2010-04-22 U. Reinosa , J. Serreau

The duality relation between one-loop integrals and phase-space integrals, developed in a previous work, is extended to higher-order loops. The duality relation is realized by a modification of the customary +i0 prescription of the Feynman…

High Energy Physics - Phenomenology · Physics 2011-03-17 Isabella Bierenbaum , Stefano Catani , Petros Draggiotis , German Rodrigo

When a theory shall be described at all scales, it is necessary to start from its elementary degrees of freedom. Herein, one possible chain of steps for this purpose will be briefly outlined for the example of a gauge theory, like QCD.…

High Energy Physics - Phenomenology · Physics 2011-07-22 Axel Maas

We find the dual equivalent (gauge invariant) version of the Maxwell theory in D=4 with a Proca-like mass term by using the symplectic embedding method. The dual theory obtained (Maxwell-Podolsky) includes a higher-order derivative term and…

High Energy Physics - Theory · Physics 2008-12-05 E. M. C. Abreu , A. C. R. Mendes , C. Neves , W. Oliveira , C. Wotzasek , L. M. V. Xavier