S-Matrix formalism for particles interacting with phonon fields: Coherent state representation |
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Authors: | F Ventriglia A Tagliacozzo V Marigliano Ramaglia |
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Institution: | (1) Dipartimento di Fisica Nucleare, Struttura della Materia e Fisica Applicata and Gruppo Nazionale di Struttura della Materia (Consiglio Nazionale delle Ricerche), Naples University, Mostra d'Oltremare Pad. 19, I-80100 Napoli, Italy |
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Abstract: | We apply the quasiparticle picture to the interaction between a fermion and a boson field using a coherent states representation of theS matrix. Its matrix elements between single particle states are explicitly evaluated in terms of a path integral. The method is extended to include dispersion in the excitation spectrum and applied to the case of a metal with electron-hole symmetry. Its relation with perturbation theory is discussed and the second order perturbative result for polarons in insulators is recovered. |
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