S-matrix at spatial infinity

Abstract

We provide a new method to construct the S-matrix in quantum field theory. This method implements crossing symmetry manifestly by erasing the a priori distinction between in- and out-states. It allows the description of processes where the interaction weakens with distance in space, but remains strong in the center at all times. It should also be applicable to certain spacetimes where the conventional method fails due to lack of temporal asymptotic states.

4 pages, LaTeX + revtex4; v2: normalization factors corrected; v3: two paragraphs added, minor corrections and enhancements, reference list updated; v4: references corrected/updated

References in corpus (4)

• The boundary S-matrix and the AdS to CFT dictionary
• General boundary quantum field theory: Foundations and probability interpretation
• General boundary quantum field theory: Timelike hypersurfaces in Klein-Gordon theory
• States on timelike hypersurfaces in quantum field theory

Cited by in corpus (22)

• The Spin Foam Approach to Quantum Gravity
• What is a particle?
• Holomorphic Quantization of Linear Field Theory in the General Boundary Formulation
• Spatially asymptotic S-matrix from general boundary formulation
• Semiclassical regime of Regge calculus and spin foams
• Affine holomorphic quantization
• Observables in the General Boundary Formulation
• States and amplitudes for finite regions in a two-dimensional Euclidean quantum field theory
• The Schrödinger representation and its relation to the holomorphic representation in linear and affine field theory
• General boundary quantum field theory in de Sitter spacetime
• The Unruh Effect in General Boundary Quantum Field Theory
• Locality and General Vacua in Quantum Field Theory
• Quantum field theory on timelike hypersurfaces in Rindler space
• Classical Klein-Gordon solutions, symplectic structures and isometry actions on AdS spacetimes
• Complex structures for an S-matrix of Klein-Gordon theory on AdS spacetimes
• Evanescent Particles
• Scattering of Evanescent Particles
• The S-matrix in Schrödinger Representation for Curved Spacetimes in General Boundary Quantum Field Theory
• The Unruh-deWitt Detector and the Vacuum in the General Boundary formalism
• Interaction of evanescent particles with an Unruh-DeWitt detector
• Complex structures and quantum representations for scalar QFT in curved spacetimes
• A time operator and the time-of-arrival problem in quantum field theory