Work

Second-order renormalized Hamiltonian of Yukawa theory

Year: 2025

Type: article

Abstract: Using the renormalization group procedure for effective particles we calculate the effective Hamiltonians in the theory of a fermion field coupled to a scalar field via the Yukawa interaction. The theory is renormalized by the addition of counterterms. Necessary counterterms are determined by computing matrix elements of the effective Hamiltonian. All calculations are performed up to the second order in the expansion in powers of the coupling constant. Renormalized effective Hamiltonians are well-defined symmetric forms acting in the Fock space as opposed to the renormalized bare Hamiltonian, which is not well defined without regularization. We introduce computational techniques that should streamline higher-order calculations and may be of independent interest.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/63qr-r25y

Authors: Kamil Serafin, Carter M. Gustin, Peter J. Love

Institution: Tufts University

Language: English

Topic: Quantum and Classical Electrodynamics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: U.S. Department of Energy, Office of Science

Awards: G389208018, G8177483910