Second-order renormalized Hamiltonian of Yukawa theory

Serafin, Kamil; Gustin, Carter M.; Love, Peter J.

doi:10.1103/63qr-r25y

Second-order renormalized Hamiltonian of Yukawa theory

Journal Article · Tue Nov 04 00:00:00 EST 2025 · Physical Review. D.

DOI:https://doi.org/10.1103/63qr-r25y· OSTI ID:3006657

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Tufts University, Medford, MA (United States)
Tufts University, Medford, MA (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Iowa State University, Ames, IA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0023707; SC0024644

OSTI ID:: 3006657

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 9 Vol. 112; ISSN 2470-0010; ISSN 2470-0029

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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