13550118
New supersymmetric gauge theories: the double tensor multiplet and its interactions
Abstract The double tensor multiplet of D=4 , N=2 supersymmetry, relevant to type IIB superstring vacua, is derived and its gauge invariant and N=2 supersymmetric interactions are analysed, both self-interactions and interactions with vector multiplets and hypermultiplets. Using deformation theory, it is shown that the lowest dimensional nontrivial interaction vertices of this type have dimension 5 and all dimension 5 vertices are determined. They give rise to new N=2 supersymmetric gauge theories of the `exotic' type which are local but nonpolynomial in some of the fields and coupling constants. Explicit examples of such models are constructed.
117843456
All Solutions of the Wess-Zumino Consistency Conditions
For the case of a compact gauge group we list all solutions to the Wess-Zumino consistency equations which have to be satisfied by anomalies. We describe the main algebraic tools and theorems required for this complete classification. Our results answer the question whether in nonrenormalizable gauge theories there exist additional up-to-now unknown anomalies in the negative.
17958246
Seiberg-Witten Maps and Anomalies in Noncommutative Yang-Mills Theories
A BRST-cohomological analysis of Seiberg-Witten maps and results on gauge anomalies in noncommutative Yang-Mills theories with general gauge groups are reviewed.
121127977
Lagrangians and anomaly candidates of D = 4, N = 1 rigid supersymmetry
We investigate how to construct the most general invariant action and whether there are anomaly candidates in D = 4, N = 1 globally supersymmetric theories. The importance of the representation theory of the supersymmetry algebra for these questions is discussed. For a class of theories with special supersymmetric multiplet structure complete answers are given. Examples of more general cases are discussed.
118862884
Supersymmetry algebra cohomology. I. Definition and general structure
This paper concerns standard supersymmetry algebras in diverse dimensions, involving bosonic translational generators and fermionic supersymmetry generators. A cohomology related to these supersymmetry algebras, termed supersymmetry algebra cohomology, and corresponding “primitive elements” are defined by means of a BRST (Becchi-Rouet-Stora-Tyutin)-type coboundary operator. A method to systematically compute this cohomology is outlined and illustrated by simple examples.
13951212
Anomaly candidates and invariants of D = 4, N = 1 supergravity theories
Anomaly candidates and the form of the most general invariant local action are given for old and new minimal supergravity, including the cases that Yang--Mills and chiral matter multiplets are present. Non-minimal supergravity is also discussed. The results are obtained using BRS techniques by solving the descent equations which contain the consistency equation satisfied by integrands of anomalies and invariant actions. Among the anomaly candidates found there are locally supersymmetric extensions of the well known chiral anomalies as well as previously unknown anomaly candidates.
11379369
Fermionic contributions to the free energy of noncommutative quantum electrodynamics at high temperature
Abstract We consider the fermionic contributions to the free energy of noncommutative QED at finite temperature T . This analysis extends the main results of our previous investigation where we have considered the pure bosonic sector of the theory. For large values of θ T 2 ( θ is the magnitude of the noncommutative parameters) the fermionic contributions decrease the value of the critical temperature, above which there occurs a thermodynamic instability.
18135255
A Soluble Theory of Massless Scalar QED_2
In this brief report, we analyze a generalized theory of massless scalar QED2 and show that, unlike the conventional scalar QED2, it is free from infrared divergence problems. The model is exactly soluble and may describe, in an 1+1 dimensional space-time, noninteracting spin-one tachyons.
16421434
The energy of the high-temperature quark-gluon plasma
Abstract For the quark-gluon plasma, we study the energy-momentum tensor corresponding to the high-temperature Braaten-Pisarski effective action. The tensor is defined by considering the interaction of the plasma with a weak gravitational field. It is first calculated to second order in g (the QCD coupling constant). Then, by exploiing local invariance, we write down the complete effective action in curved space. From this we infer the energy tensor to all orders in g . For definiteness, we write this in retarded form. Finally, we discuss positivity of T 00 to second order in g .
8551567
The Boltzmann Equation in Scalar Field Theory
We derive the classical transport equation, in scalar field theory with a g2V(ϕ) interaction, from the equation of motion for the quantum field. We obtain a very simple, but iterative, expression for the effective action Γ which generates all the n-point Green functions in the high-temperature limit. An explicit and closed form is given for Γ in the static case.
119875841
Cancellation of soft interactions with spectators in the Drell-Yan process
Abstract We verify by explicit calculation, to 2-loop order, the cancellation of soft interactions with spectators in the Drell-Yan process. We employ a model in which a “meson” consists of a parton and a spectator parton, each moving along parallel eikonal lines. The process occurs in the collision of two such “mesons” at velocities near the speed of light. The calculation is sensitive to gluons with wavelengths of the order of or greater than the meson size.