Search results for "Superfield"

The Poincar\'e-Cartan Form in Superfield Theory

2018

An intrinsic description of the Hamilton-Cartan formalism for first-order Berezinian variational problems determined by a submersion of supermanifolds is given. This is achieved by studying the associated higher-order graded variational problem through the Poincar\'e-Cartan form. Noether theorem and examples from superfield theory and supermechanics are also discussed.

Some aspects of deformations of supersymmetric field theories

2000

We investigate some aspects of Moyal-Weyl deformations of superspace and their compatibility with supersymmetry. For the simplest case, when only bosonic coordinates are deformed, we consider a four dimensional supersymmetric field theory which is the deformation of the Wess-Zumino renormalizable theory of a chiral superfield. We then consider the deformation of a free theory of an abelian vector multiplet, which is a non commutative version of the rank one Yang-Mills theory. We finally give the supersymmetric version of the $\alpha'\mapsto 0$ limit of the Born-Infeld action with a B-field turned on, which is believed to be related to the non commutative U(1) gauge theory.

Superfield commutators for D = 4 chiral multiplets and their apppications

1987

The superfield commutators and their corresponding equal-time limits are derived in a covariant way for the D=4 free massive chiral multiplet. For interesting chiral multiplets, the general KAllen-Lehmann representation is also introduced. As applications of the free superfield commutators, the general solution of the Cauchy problem for chiral superfields is given, and an analysis of the closure of the bilinear products of superfields which desrcibe the extension of the internal currents for free supersymmetric chiral matter is performed.

Supersymmetric particle model with additional bosonic coordinates

1986

A new supersymmetric particle model in enlarged superspace with additional bosonic coordinateszij,\(\bar z_{ij} \) (zij=−zji;i=1...N, N even) canonically conjugated to central charges is quantized. The superwave functions which are obtained through first quantization are the free superfields on the enlarged superspace\((x^\mu , \theta _{\alpha i} , \bar \theta _i^{\dot \alpha } , z_{ij} , \bar z_{ij} )\). Two particular cases (N=2 with one additional complex bosonic coordinate andN=8 with seven additional real coordinates) are considered in more detail.

Nonrelativistic limit of superfield theories

1991

SUPERFIELDS AND CANONICAL METHODS IN SUPERSPACE

1986

We consider the “supersymmetric roots” of the Heisenberg evolution equation as describing the dynamics of superfields in superspace. We investigate the superfield commutators and their equal time limits and exhibit their noncanonical character even for free superfields. For simplicity, we concentrate on the D=1 case, i.e., the superfield formulation of supersymmetric quantum mechanics in the Heisenberg picture and, as a soluble example, the supersymmetric oscillator. Finally, we express Noether’s theorem in superspace and give the definition of the global conserved supercharges.

Covariant Operator Formalism for Quantized Superfields

1988

The Takahashi-Umezawa method of deriving the free covariant quantization relations from the linear equations of motion is extended to superfields. The Cauchy problem for free superfields is solved, and an expression for the time independent scalar product is given. For the case of interacting fields, we give the general Kallen-Lehmann spectral representation for the two-point superfield Green functions and, after the introduction of the asymptotic condition for superfields, we give the superfield extension of the Yang-Feldman equation. The case of the D = 2 real scalar superfield and the case of the D = 4 chiral superfield are discussed in detail.