Infrared Behavior of Interacting Bosons at Zero Temperature

Journal Article · Sat Mar 01 04:00:00 EST 1997 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.78.1612· OSTI ID:467440

Castellani, C; Di Castro, C ^[1]; Pistolesi, F ^[2]; Pistolesi, F; Strinati, G ^[3]

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1. Dipartimento di Fisica, Universita La Sapienza, Sezione INFM, I-00185 Roma (Italy)
2. Scuola Normale Superiore, Sezione INFM, I-56126 Pisa (Italy)
3. Dipartimento di Matematica e Fisica, Universita di Camerino, Sezione INFM, I-62032 Camerino (Italy)

We exploit the symmetries associated with the stability of the superfluid phase to solve the long-standing problem of interacting bosons in the presence of a condensate at zero temperature. Implementation of these symmetries poses strong conditions on the renormalizations that heal the singularities of perturbation theory. The renormalized theory gives the following: For d{gt}3 the Bogoliubov quasiparticles as an exact result; for 1{lt}d{le}3 a nontrivial solution with the exact exponent for the singular longitudinal correlation function, with phonons again as low-lying excitations. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 467440
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 9 Vol. 78; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CONDENSATES
CORRELATION FUNCTIONS
EXCITATION
HARTREE-FOCK METHOD
INFRARED SURVEYS
INTERACTING BOSON MODEL
PERTURBATION THEORY
PHONONS
QUASI PARTICLES
RENORMALIZATION
RESPONSE FUNCTIONS
SELF-ENERGY
SINGULARITY
STABILITY
SUPERFLUID MODEL
SYMMETRY
WARD IDENTITY