Spectral properties of mesons in hot and dense matter from energy weighted sum rules
- Departamento de Fisica Teorica II, Universidad Complutense, 28040 Madrid (Spain)
- Departament d'Estructura i Constituents de la Materia, Universitat de Barcelona, Diagonal 647, 08028 Barcelona (Spain)
- Theory Group, KVI, University of Groningen, Zernikelaan 25, 9747 AA Groningen (Netherlands)
Energy weighted sum rules for the spectral function of mesons are derived, both in cold nuclear matter and at finite temperature, by matching the Dyson propagator with its spectral Lehmann representation at low and high energies. We illustrate our results by calculating the sum rules for specific models of the kaon and pion self-energy in a nuclear medium. We find satisfactory results from the lower energy weight sum rules, which reflect the contributions from the different quasi-particle and collective modes of the meson spectral function, and show examples of the sensitivity of the sum rules to model approximations. Finally, we discuss applications in asymmetric nuclear matter and in the study of the spectral properties of vector mesons.
- OSTI ID:
- 21511386
- Journal Information:
- AIP Conference Proceedings, Vol. 1322, Issue 1; Conference: International workshop on chiral symmetry in hadrons and nuclei, Valencia (Spain), 21-24 Jun 2010; Other Information: DOI: 10.1063/1.3542002; (c) 2010 American Institute of Physics; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
Similar Records
Analyticity constraints on the in-medium spectrum of mesons
Energy weighted sum rules for spectral functions in nuclear matter
Related Subjects
APPROXIMATIONS
ASYMMETRY
HYPERONS
KAON-NUCLEON INTERACTIONS
KAONS
NUCLEAR MATTER
PIONS
QUASI PARTICLES
SELF-ENERGY
SENSITIVITY
SPECTRAL FUNCTIONS
SUM RULES
VECTOR MESONS
BARYONS
BOSONS
CALCULATION METHODS
ELEMENTARY PARTICLES
ENERGY
EQUATIONS
FERMIONS
FUNCTIONS
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
MATTER
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
MESONS
PARTICLE INTERACTIONS
PSEUDOSCALAR MESONS
STRANGE MESONS
STRANGE PARTICLES