Three-Point Functions at Finite Temperature

We study 3-point functions at finite temperature in the closed time path formalism. We give a general decomposition of the eight component tensor in terms of seven vertex functions. We derive a spectral representation for these seven functions in terms of two independent real spectral functions. We derive relationships between the seven functions and obtain a representation of the vertex tensor that greatly simplifies calculations in real time.Comment: 21 pages LaTeX; one ps-figure; Revised version, contains more references and discussio

Transverse momentum spectra and elliptic flow: Hydrodynamics with QCD-based equations of state

We present a family of equations of state within a quasiparticle model adjusted to lattice QCD and study the impact on azimuthal flow anisotropies and transverse momentum spectra within hydrodynamic simulations for heavy-ion collisions at energies relevant for LHC.Comment: Aug. 2007. 3 pp. Talk given at the Focus Week of the workshop Heavy Ion Collisions at the LHC - Last Call for Predictions, Genf, Switzerland, 29 May - 2 June 200

On the involutions fixing the class of a lattice

With any integral lattice \Lambda in n-dimensional euclidean space we associate an elementary abelian 2-group I(\lambda) whose elements represent parts of the dual lattice that are similar to \Lambda. There are corresponding involutions on modular forms for which the theta series of \Lambda is an eigenform; previous work has focused on this connection. In the present paper I(\Lambda) is considered as a quotient of some finite 2-subgroup of O_n(\R). We establish upper bounds, depending only on n, for the order of I(\Lambda), and we study the occurrence of similarities of specific types.Comment: 11 pages LaTeX. To appear in Journal of Number Theor