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In our previous paper we construct a renormalizable Wess-Zumino action on BFNC superspace at the second order approximation of noncommutative parameters. The action contains about 200 terms which are necessary for renormalization. By…

高能物理 - 理论 · 物理学 2016-03-22 Xu-Dong Wang

Using the exact renormalization group (ERG) differential equation, we give an elementary proof of the non-renormalization theorem for the Wess-Zumino model. We introduce auxiliary fields to linearize the supersymmetry transformation, but we…

高能物理 - 理论 · 物理学 2014-11-20 Hidenori Sonoda , Kayhan Ulker

We construct a deformed Wess-Zumino model on the noncommutative superspace where the Bosonic and Fermionic coordinates are no longer commutative with each other. Using the background field method, we calculate the primary one-loop effective…

高能物理 - 理论 · 物理学 2014-09-02 Yan-Gang Miao , Xu-Dong Wang

An exact renormalization group for theories of a scalar chiral superfield is formulated, directly in four dimensional Euclidean space. By constructing a projector which isolates the superpotential from the full Wilsonian effective action,…

高能物理 - 理论 · 物理学 2015-03-13 Oliver J. Rosten

It is shown that the quantum master equation of the Field Antifield quantization method at one loop order can be translated into the requirement of a superfield structure for the action. The Pauli Villars regularization is implemented in…

高能物理 - 理论 · 物理学 2008-11-26 Everton M. C. Abreu , Nelson R. F. Braga

We introduce the notion of superoperators on noncommutative R^4 and re-investigate in the framework of superfields the noncommutative Wess-Zumino model as a quantum field theory. In a highly efficient manner we are able to confirm the…

高能物理 - 理论 · 物理学 2009-10-31 A. A. Bichl , J. M. Grimstrup , H. Grosse , L. Popp , M. Schweda , R. Wulkenhaar

A supersymmetric gauge invariant action is constructed over any 4-dimensional Riemannian manifold describing Witten's theory of 4-monopoles. The topological supersymmetric algebra closes off-shell. The multiplets include the auxiliary…

高能物理 - 理论 · 物理学 2009-10-30 R. Gianvittorio , I. Martin , A. Restuccia

We present a method to solve the master equation for the Wilsonian action in the antifield formalism. This is based on a representation theory for cutoff dependent global symmetries along the Wilsonian renormalization group (RG) flow. For…

高能物理 - 理论 · 物理学 2009-11-07 Yuji Igarashi , Katsumi Itoh , Hiroto So

We describe a notion of "higher" Wess-Zumino-Witten-like action which is natural in the context of superstring field theories formulated in the large Hilbert space. For the open string, the action is characterized by a pair of commuting…

高能物理 - 理论 · 物理学 2017-10-23 Theodore Erler

We discuss the non-anticommutative (N=1/2) supersymmetric Wess-Zumino model in four dimensions. Firstly we introduce differential operators which implement the non-anticommutative supersymmetry algebra acting on the component fields and…

高能物理 - 理论 · 物理学 2009-02-12 I. Jack , D. R. T. Jones , R. Purdy

Wilson's approach to renormalization group is reanalyzed for supersymmetric Yang-Mills theory. Usual demonstration of exact renormalization group equation must be modified due to the presence of the so called Konishi anomaly under the…

高能物理 - 理论 · 物理学 2016-09-06 S. Arnone , C. Fusi , K. Yoshida

We show that in a Wilsonian renormalization scheme with zero-momentum subtraction point the massless Wess-Zumino model satisfies the non-renormalization theorem; the finite renormalization of the superpotential appearing in the usual…

高能物理 - 理论 · 物理学 2009-10-31 M. Pernici , M. Raciti , F. Riva

We clarify a Wess-Zumino-Wtten-like structure including Ramond fields and propose one systematic way to construct gauge invariant actions: Wess-Zumino-Witten-like complete action $S_{\rm WZW}$. We show that Kunitomo-Okawa's action proposed…

高能物理 - 理论 · 物理学 2018-07-17 Hiroaki Matsunaga

The continuous block spin (Wilson) renormalization group equation governing the scale dependence of the action is constructed for theories containing scalars and fermions. A locally approximated form of this equation detailing the structure…

高能物理 - 唯象学 · 物理学 2009-10-22 T. E. Clark , B. Haeri , S. T. Love

We apply the recently developed method of differential renormalization to the Wess-Zumino model. From the explicit calculation of a finite, renormalized effective action, the $\beta$-function is computed to three loops and is found to agree…

高能物理 - 理论 · 物理学 2009-10-22 Peter E. Haagensen

We shall give an axiomatic construction of Wess-Zumino-Witten actions valued in (G=SU(N)), (N\geq 3). It is realized as a functor ({WZ}) from the category of conformally flat four-dimensional manifolds to the category of line bundles with…

微分几何 · 数学 2007-05-23 Tosiaki Kori

We find a simpler formulation of the Green-Schwarz action, for which the Wess-Zumino term is the square of supersymmetric currents, like the rest of the action. On a random lattice it gives Feynman diagrams of a particle superfield theory.

高能物理 - 理论 · 物理学 2009-10-28 W. Siegel

We construct quantized free superfields and represent them as operator-valued distributions in Fock space starting with Majorana fields. The perturbative construction of the S-matrix for interacting theories is carried through by extending…

高能物理 - 理论 · 物理学 2007-05-23 Florin Constantinescu , Gunter Scharf

We consider the exact renormalization group for a non-canonical scalar field theory in which the field is coupled to the external source in a special non linear way. The Wilsonian action and the average effective action are then simply…

统计力学 · 物理学 2015-05-13 Jean-Michel Caillol

The effective action for chiral $W_3$ gravity is studied. It is shown that the computation of the effective action can be reduced to that of a $SL(3,\re)$ Wess-Zumino-Witten theory. If one assumes that the effective action for the…

高能物理 - 理论 · 物理学 2009-10-22 Jan de Boer , Jacob Goeree
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