TL;DR
This paper investigates how boundary effects influence quantum field theories in curved spacetime, focusing on surface couplings and their implications for cosmology and symmetry breaking, with specific results in scalar and gauge theories.
Contribution
It introduces the concept of running surface couplings in curved spacetime and demonstrates their significance in quantum cosmology and symmetry breaking phenomena.
Findings
Surface running couplings are identified in SU(2) gauge theory.
Boundary effects significantly influence effective equations of motion.
Surface couplings impact quantum cosmology models.
Abstract
We discuss the renormalization group improved effective action and running surface couplings in curved spacetime with boundary. Using scalar self-interacting theory as an example, we study the influence of the boundary effects to effective equations of motion in spherical cap and the relevance of surface running couplings to quantum cosmology and symmetry breaking phenomenon. Running surface couplings in the asymptotically free SU(2) gauge theory are found.
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