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We propose a type of non-anticommutative superspace, with the interesting property of relating to Lee-Wick type of higher derivatives theories, which are known for their interesting properties, and have lead to proposals of…

High Energy Physics - Theory · Physics 2014-12-22 M. Dias , A. F. Ferrari , C. A. Palechor , C. R. Senise

We compute the fixed point action of a properly defined renormalization group transformation for the Schwinger model through an expansion in the gauge field. It is local, with couplings exponentially suppressed with the distance. We check…

High Energy Physics - Lattice · Physics 2009-10-30 F. Farchioni , V. Laliena

One-loop effective action of noncommutative scalar field theory with cubic self-interaction is studied. Utilizing worldline formulation, both planar and nonplanar part of the effective action are computed explicitly. We find complete…

High Energy Physics - Theory · Physics 2011-09-13 Youngjai Kiem , Soo-Jong Rey , Haru-Tada Sato , Jung-Tay Yee

The field-theoretic one-loop effective action in a static scalar background depending nontrivially on a single spatial coordinate is related, in the proper-time formalism, to the trace of the evolution kernel (or heat kernel) for an…

High Energy Physics - Theory · Physics 2009-11-07 Chanju Kim , O-Kab Kwon , Choonkyu Lee

In this paper we show the Wilson effective action for the 2-dimensional O(N+1)-symmetric lattice nonlinear sigma-model computed in the 1-loop approximation for the nonlinear choice of blockspin $\Phi(x)$, $\Phi(x)=…

High Energy Physics - Lattice · Physics 2015-06-25 M. Bartels , G. Mack , G. Palma

The quantum action for a three-dimensional real sextic model using the background field method is considered. Four-loop renormalization of this model is performed with a cutoff regularization in the coordinate representation. The…

High Energy Physics - Theory · Physics 2025-04-11 N. V. Kharuk

We analyze the divergent part of the one-loop effective action for the noncommutative SU(2) gauge theory coupled to the fermions in the fundamental representation. We show that the divergencies in the 2-point and the 3-point functions in…

High Energy Physics - Theory · Physics 2009-11-10 Maja Buric , Voja Radovanovic

We compute the effective hamiltonian for non-leptonic |Delta F| = 1 decays in the standard model including next-to-next-to-leading order QCD corrections. In particular, we present the complete three-loop anomalous dimension matrix…

High Energy Physics - Phenomenology · Physics 2009-09-10 Martin Gorbahn , Ulrich Haisch

We derive the one-loop effective action for scalar, pseudoscalar, and electromagnetic fields coupled to a Dirac fermion in an extension of QED with Yukawa couplings. Using the Schwinger proper-time formalism and zeta-function…

High Energy Physics - Theory · Physics 2018-09-20 Theodore N. Jacobson , Tonnis ter Veldhuis

We extend the critical point self-consistency method used to solve field theories at their d-dimensional fixed point in the large N expansion to include superfields. As an application we compute the beta-function of the Wess-Zumino model…

High Energy Physics - Theory · Physics 2009-10-30 P. M. Ferreira , J. A. Gracey

We discuss a deformation of superspace based on a hermitian twist. The twist implies a $\star$-product that is noncommutative, hermitian and finite when expanded in power series of the deformation parameter. The Leibniz rule for the twisted…

High Energy Physics - Theory · Physics 2011-03-21 Marija Dimitrijevic , Biljana Nikolic , Voja Radovanovic

Motivated by the success of the non-commutative scalar Grosse-Wulkenhaar model, a non-commutative U(1) gauge field theory including an oscillator-like term in the action has been put forward in arXiv:0705.4205. The aim of the current work…

High Energy Physics - Theory · Physics 2014-11-20 Daniel N. Blaschke , Harald Grosse , Erwin Kronberger , Manfred Schweda , Michael Wohlgenannt

We study N=2 supersymmetric U(1) gauge theory in the noncommutative harmonic superspace with nonanticommutative fermionic coordinates. We examine the gauge transformation which preserves the Wess-Zumino gauge by harmonic expansions of…

High Energy Physics - Theory · Physics 2009-11-10 Takeo Araki , Katsushi Ito , Akihisa Ohtsuka

A formulation of Skyrme model as an embedded gauge theory with the constraint deformed away from the spherical geometry is proposed. The gauge invariant formulation is obtained firstly generalizing the intrinsic geometry of the model and…

High Energy Physics - Theory · Physics 2009-10-31 Clifford Neves , Clovis Wotzasek

We show that the noncommutative Wess-Zumino (NCWZ) Lagrangian with permutation terms in the interaction parts is renormalizable at one-loop level by only a wave function renormalization. When the non-commutativity vanishes, the logarithmic…

High Energy Physics - Theory · Physics 2009-10-31 Teparksorn Pengpan , Xiaozhen Xiong

We calculate the 1-loop renormalization of a set of extended fermionic bilinears which form a basis corresponding to moments of the parton distribution functions. We use the overlap action for fermions and Luescher-Weisz (LW) action for…

High Energy Physics - Lattice · Physics 2007-05-23 M. Ioannou , H. Panagopoulos

We consider noncommutative GUT inspired field theories formulated within the enveloping-algebra formalism for anomaly safe compact simple gauge groups. Our theories have only gauge fields and fermions, and we compute the UV divergent part…

High Energy Physics - Theory · Physics 2010-01-18 C. P. Martin , C. Tamarit

We discuss the structure of the non-anticommutative N=2 non-linear sigma-model in two dimensions, constructing differential operators which implement the deformed supersymmetry generators and using them to reproduce the classical action. We…

High Energy Physics - Theory · Physics 2009-07-22 I. Jack , R. Purdy

We develop the formalism for the one-loop no-boundary state in a cosmological model with fermions. We use it to calculate the reduced density matrix for an inflaton field by tracing out the fermionic degrees of freedom, yielding both the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Barvinsky , A. Kamenshchik , C. Kiefer

We consider the Wess-Zumino-Witten theory to obtain the functional integral bosonization of the Thirring-Wess model with an arbitrary regularization parameter. Proceeding a systematic of decomposing the Bose field algebra into…

High Energy Physics - Theory · Physics 2009-11-10 L. V. Belvedere , A. F. Rodrigues