A bstract We study a 3d/2d dimensional degression which is Kaluza-Klein type mechanism in AdS 3 space foliated into 2 hypersurfaces. It shown that an massless particle of spin s = 1 , … ∞ degresses couple particles equal energies E . Note the spectra higher dimensions are always infinite. To formulate /AdS we consider branching rules for isometry algebra o(2,2) representations decomposed with r...

The AdS3/CFT2 correspondence features massless non-relativistic modes on the string worldsheet in lightcone gauge. We study detail these excitations and highlight how they naturally split between chiral (left-moving) anti-chiral (right-moving) representations. In light of this we discuss constraints two-particle S matrix imposed by braiding physical unitarity, parity, time-reversal, crossing in...

The graviton localized on the 3-brane is examined in Randall-Sundrum braneworld scenario from the viewpoint of one-dimensional singular quantum mechanics. For the Randall-Sundrum single brane scenario the one-parameter family of the fixed-energy amplitude is explicitly computed where the free parameter ξ parametrizes the various boundary conditions at the brane. The general criterion for the lo...

The regularized expectation value of the stress-energy tensor for a massless bosonic or fermionic field in 1+1 dimensions is calculated explicitly for the instantaneous vacuum relative to any Cauchy surface (here a spacelike curve) in terms of the length L of the curve (if closed), the local extrinsic curvature K of the curve, its derivative K ′ with respect to proper distance x along the curve...

We discuss the renormalizability of the massless Thirring model in terms of the causal fermion Green functions and correlation functions of left—right fermion densities. We obtain the most general solution of the massless Thirring model with dynamical dimensions of fermion fields, parameterized by two arbitrary parameters. We show that in the massless Thirring model there are no solutions which...

We give a simple and direct construction of a massless quantum field with arbitrary discrete helicity that satisfies Wightman axioms and the corresponding relativistic wave equation in the distributional sense. We underline the mathematical differences to massive models. The construction is based on the notion of massless free net (cf. Section 3) and the detailed analysis of covariant and massl...

The trace anomaly of quantum fields in electromagnetic or gravitational backgrounds implies the existence of massless scalar poles in physical amplitudes involving the stress-energy tensor. Considering first the axial anomaly and using QED as an example, we compute the full one-loop triangle amplitude of the fermionic stress tensor with two current vertices, 〈TμνJαJβ〉, and exhibit the scalar po...