Wednesday, September 12, 2012

1209.2148 (Romeo Brunetti et al.)

Algebraic Structure of Classical Field Theory I: Kinematics and
Linearized Dynamics for Real Scalar Fields
   [PDF]

Romeo Brunetti, Klaus Fredenhagen, Pedro Lauridsen Ribeiro
We describe the elements of a novel structural approach to classical field theory, inspired by recent developments in perturbative algebraic quantum field theory. This approach is local and functorial, being characterized by a combination of geometric, analytic and algebraic elements which (1) make it closer to quantum field theory, (2) allow for a rigorous analytic refinement of many computational formulae from the functional formulation of classical field theory and (3) provide a new pathway towards understanding dynamics. Particular attention will be paid to aspects related to nonlinear hyperbolic partial differential equations and the functorial structure underlying our approach.
View original: http://arxiv.org/abs/1209.2148

No comments:

Post a Comment