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We present a new form of Quantum Electrodynamics where the photons are composites made out of zero-dimensional scalar ``primitives''. The r\^{o}le of the local gauge symmetry is taken over by an {\em infinite-dimensional global Noether…

高能物理 - 理论 · 物理学 2009-10-28 E. I. Guendelman , E. Nissimov , S. Pacheva

With a view toward a fracton theory in condensed matter, we introduce a higher-moment polynomial degree-p global symmetry, acting on complex scalar/vector/tensor fields (e.g., ordinary or vector global symmetry for p$=0$ and p$=1$…

高能物理 - 理论 · 物理学 2021-02-26 Juven Wang , Kai Xu , Shing-Tung Yau

In this article we shall consider the tensor gauge fields which are possible to embed into the existing framework of generalized YM theory and therefore allows to construct the gauge invariant and metric independent forms in 2n+4 and 2n+2…

高能物理 - 理论 · 物理学 2013-07-12 George Georgiou , George Savvidy

Gauge fields of mixed symmetry, corresponding to arbitrary representations of the local Lorentz group of the background spacetime, arise as massive modes in compactifications of superstring theories. We describe bosonic gauge field theories…

高能物理 - 理论 · 物理学 2009-11-10 Paul de Medeiros

In this paper we complete our construction of frame-like gauge invariant description for massive mixed symmetry tensor fields corresponding to arbitrary Young tableau with two rows started in [1]. We consider general massive theory in (A)dS…

高能物理 - 理论 · 物理学 2009-11-23 Yu. M. Zinoviev

Motivated by recent discussions of fractons, we explore nonrelativistic field theories with a continuous global symmetry, whose charge is a spatial vector. We present several such symmetries and demonstrate them in concrete examples. They…

强关联电子 · 物理学 2020-04-08 Nathan Seiberg

A new gauge invariant formulation of the relativistic scalar field interacting with Chern-Simons gauge fields is considered. This formulation is consistent with the gauge fixed formulation. Furthermore we find that canonical (Noether)…

高能物理 - 理论 · 物理学 2009-12-30 Mu-In Park , Young-Jai Park

We discuss various proposals of separating a tensor field into pure-gauge and gauge-invariant components. Such tensor field decomposition is intimately related to the effort of identifying the real gravitational degrees of freedom out of…

广义相对论与量子宇宙学 · 物理学 2011-11-30 Xiang-Song Chen , Ben-Chao Zhu

An iterative Noether scheme, advocated by Deser, is used to introduce gauge invariant couplings to nonrelativistic matter with global symmetries related to usual charge conservation and dipole conservation recently discussed in fractonic…

高能物理 - 理论 · 物理学 2022-07-20 Rabin Banerjee

In this paper, as a first step toward frame-like gauge invariant formulation for massive mixed symmetry bosonic fields, we consider mixed tensors, corresponding to Young tableau with two rows with k >= 2 boxes in the first row and only one…

高能物理 - 理论 · 物理学 2009-02-12 Yu. M. Zinoviev

In this paper we study finite dimensional algebras, in particular finite semifields, through their correspondence with nonsingular threefold tensors. We introduce a alternative embedding of the tensor product space into a projective space.…

组合数学 · 数学 2024-03-14 Stefano Lia , John Sheekey

We reformulate gauge theories in analogy with the vierbein formalism of general relativity. More specifically, we reformulate gauge theories such that their gauge dynamical degrees of freedom are local fields that transform linearly under…

高能物理 - 理论 · 物理学 2016-11-23 Daniel J. H. Chung , Ran Lu

We discuss scalar quantum field theories in a Lorentz-invariant three-dimensional noncommutative space-time. We first analyze the one-loop diagrams of the two-point functions, and show that the non-planar diagrams are finite and have…

高能物理 - 理论 · 物理学 2014-11-18 Shin'ichi Imai , Naoki Sasakura

Cubic couplings between a complex scalar field and a tower of symmetric tensor gauge fields of all ranks are investigated on any constant curvature spacetime of dimension d>2. Following Noether's method, the gauge fields interact with the…

高能物理 - 理论 · 物理学 2010-11-30 Xavier Bekaert , Elisa Meunier

Covariant forms are given to a gauge theory of massive tensor field. This is accomplished by introducing another auxiliary field of scalar type to the system composed of a symmetric tensor field and an auxiliary field of vector type. The…

高能物理 - 理论 · 物理学 2009-10-30 Shinji Hamamoto

Gauge fields in exotic representations of the Lorentz group in D dimensions - i.e. ones which are tensors of mixed symmetry corresponding to Young tableaux with arbitrary numbers of rows and columns - naturally arise through massive string…

高能物理 - 理论 · 物理学 2009-11-07 P. de Medeiros , C. Hull

For k-symplectic Hamiltonian field theories, we study infinitesimal transformations generated by certain kinds of vector fields which are not Noether symmetries, but which allow us to obtain conservation laws by means of a suitable…

数学物理 · 物理学 2015-12-15 Narciso Roman-Roy , Modesto Salgado , Silvia Vilarino

Using the formalism of noncommutative geometric gauge theory based on the superconnection concept, we construct a new type of vector gauge theory possessing a shift-like symmetry and the usual gauge symmetry. The new shift-like symmetry is…

高能物理 - 理论 · 物理学 2009-10-30 Chang-Yeong Lee

We study the invariance under duality transformations in massless and massive $p-$form field theories and obtain the Noether generators of the infinitesimal transformations that correspond to this symmetry. These generators are realized in…

高能物理 - 理论 · 物理学 2010-12-09 Ernesto Contreras , Lorenzo Leal , Yisely Martinez

We consider the theory of a symmetric tensor field in 4D, invariant under a subclass of infinitesimal diffeomorphism transformations, where the vector diff parameter is the 4-divergence of a scalar parameter. The resulting gauge symmetry…

高能物理 - 理论 · 物理学 2022-07-20 Alberto Blasi , Nicola Maggiore
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