We consider the one-loop effective action due to a spinor loop coupled to an abelian vector and axial vector field background. After rewriting this effective action in terms of an auxiliary non-abelian gauge connection, we use the De Witt expansion to analyze both its anomalous and non-anomalous content. The same transformation allows us to obtain a novel worldline path integral representation ...

We consider a transport equation of the Boltzmann-Langevin type for non-Abelian plasmas close to equilibrium to derive the spectral functions of the underlying microscopic fluctuations from the entropy. The correlator of the stochastic source is obtained from the dissipative processes in the plasma. This approach, based on classical transport theory, exploits the well-known link between a linea...

Abelian gauge theories formulated on a space-time lattice can be used as a prototype for investigating the confinement mechanism. In U(1) lattice gauge theory it is possible to perform a dual transformation of the path integral. Simulating the obtained dual theory (which corresponds to a certain limit of a dual Higgs model) including external sources, we perform a very accurate analysis of flux...

Abelian gauge theories formulated on a space-time lattice can be used as a prototype for investigating the confinement mechanism. In U(1) lattice gauge theory it is possible to perform a dual transformation of the path integral. Simulating the obtained dual theory (which corresponds to a certain limit of a dual Higgs model) including external sources, we perform a very accurate analysis of flux...

We investigate what Ext(A, Z) can be when A is torsion-free and Hom(A, Z) = 0. We thereby give an answer to a question of Golasiński and Gonçalves which asks for the divisible Abelian groups which can be the type of a co-Moore space. 0. Introduction Marek Golasiński and Daciberg Lima Gonçalves have asked which divisible abelian groupsD can be the type of a co-Moore space [6, Problem 2.6]. In ot...

Let L=K1 U .. , U Kp.r;;;S3 be a tame link of Jl~ 1 components with group G=7r1(S3_L). Also, let H=G/G' be the abelianization of G; H is then the (multiplicative) free abelian group generated by the meridians t1, ••• , tp. of L, and its integral group ring ZH consists of polynomials (with integer coefficients) in t 1 ,. .. , tp.' til, ... , t;l. The homomorphism 6: ZH~Z (which has 6(t;)=1 for e...

Serre [5] has recently proved a general theorem about projective modules over commutative rings. This theorem has the following consequence : If 7T is a finite abelian group, any finitely generated projective module over the integral group ring Zir is the direct sum of a free module and an ideal of Zir. The question naturally arises as to whether this result holds for nonabelian groups x. Serre...

in this article, by using a partial on locally compact semi-direct product groups, we present a compatible extension of the fourier transform. as a consequence, we extend the fundamental theorems of abelian fourier transform to non-abelian case.

In this paper we decompose the rational homology of ordered configuration space n open unit-diameter disks in infinite strip width 2 as a direct sum induced $$S_{n}$$ -representations. (Alpert Generalized representation stability for and no-k-equal spaces, arXiv:2006.01240 , 2020), Alpert proves that $$k^{\text {th}}$$ -integral is an FI $$_{k+1}$$ -module by studying certain operations on call...

We discuss how the background geometry can be traced from the one-loop effective actions in nonsupersymmetric theories in the external abelian fields. It is shown that after the proper identification of the Schwinger parameter the Heisenberg-Euler abelian effective action involves the integration over the AdS3, S3 and T ∗S3 geometries, depending on the type of the external field. The interpreta...