Work

Running Boundary Condition

Year: 2011

Type: article

Abstract: In this paper we argue that boundary condition may run with energy scale. As an illustrative example, we consider one-dimensional quantum mechanics for a spinless particle that freely propagates in the bulk yet interacts only at the origin. In this setting we find the renormalization group flow of U(2) family of boundary conditions exactly. We show that the well-known scale-independent subfamily of boundary conditions are realized as fixed points. We also discuss the duality between two distinct boundary conditions from the renormalization group point of view. Generalizations to conformal mechanics and quantum graph are also discussed.

Source: Progress of Theoretical Physics

DOI: 10.1143/ptp.125.225

Authors: Satoshi Ohya, Makoto Sakamoto, Motoi Tachibana

Institutions: Istituto Nazionale di Fisica Nucleare, Sezione di Pisa, Kobe University, Saga University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Ministry of Education, Culture, Sports, Science and Technology, Japan Society for the Promotion of Science

Award: A new mechanism of productionof chiral fermions and a solution to the hierarchy problem based on extra dimensions