Domain Walls in Noncommutative Field Theories

Noncommutative Dipole Field Theories

Assigning an intrinsic constant dipole moment to any field, we present a new kind of associative star product, the dipole star product, which was first introduced in [hepth/0008030]. We develop the mathematics necessary to study the corresponding noncommutative dipole field theories. These theories are sensible non-local field theories with no IR/UV mixing. In addition we discuss that the Loren...

Domain Walls in Strongly Coupled Theories

Domain walls in strongly coupled gauge theories are discussed. A general mechanism is suggested automatically leading to massless gauge bosons localized on the wall. In one of the models considered, outside the wall the theory is in the nonAbelian confining phase, while inside the wall it is in the Abelian Coulomb phase. Confining property of the non-Abelian theories is a key ingredient of the ...

Domain Walls in Supersymmetric Yang-Mills Theories

We present a detailed analysis of the domain walls in supersymmetric gluodynamics and SQCD. We use the (corrected) Veneziano-Yankielowicz effective Lagrangians to explicitely obtain the wall profiles and check recent results of Ref. [1]: (i) the BPS-saturated nature of the walls; (ii) the exact expressions for the wall energy density which depend only on global features of dynamics (the existen...

Noncommutative Integrable Field Theories in 2d

We study the noncommutative generalization of (euclidean) integrable models in two-dimensions, specifically the sine-and sinh-Gordon and the U (N) principal chiral models. By looking at tree-level amplitudes for the sinh-Gordon model we show that its na¨ıve noncommutative generalization is not integrable. On the other hand, the addition of extra constraints, obtained through the generalization ...

Some Studies in Noncommutative Quantum Field Theories