Diquarks in the nilpotency expansion of QCD and their role at finite chemical potential
arXiv:1112.3493 · doi:10.1103/PhysRevD.85.094009
Abstract
We assume that the most important quark correlations are pairwise at all baryon densities. We introduce correlated pairs by means of Bogoliubov transformations which are functions of time and spatial gauge fields, in the formalism of the transfer matrix with lattice regularization. The dependence on time and gauge fields allows us to enforce gauge invariance and other symmetries term by term in the transformed quantities. The resulting action should be suitable for the description of multiquark mesons and baryons as states of a quark and a diquark. We derive the quark contribution to the free energy at finite chemical potential in a certain approximation. Its expression cannot be evaluated analytically, but it has a definite sign.
36 pages
References in corpus (20)
- Diquark-Antidiquarks with Hidden or Open Charm and the Nature of X(3872)
- Diquarks and Exotic Spectroscopy
- The QCD phase diagram for small densities from imaginary chemical potential
- Finite density QCD via imaginary chemical potential
- A Theory of Scalar Mesons
- Chiral Properties of Strong Interactions in a Magnetic Background
- Magnetic-Field-Induced insulator-conductor transition in SU(2) quenched lattice gauge theory
- Phase diagram of QCD with four quark flavors at finite temperature and baryon density
- Bound diquarks and their Bose-Einstein condensation in strongly coupled quark matter
- Finite Density QCD: a New Approach
- BCS BEC crossover and phase structure of relativistic system: a variational approach
- Composite boson dominance in relativistic field theories
- The transfer matrix with Kogut-Susskind fermions
- A semi-variational approach to QCD at finite temperature and baryon density
- Bogoliubov transformations and fermion condensates in lattice field theories
- A proposal for simulating QCD at finite chemical potential on the lattice
- Simple condensation of composite bosons in a number conserving approach to many fermion systems
- Chiral symmetry breaking and quark confinement in the nilpotency expansion of QCD
- Electric Dipole Moments and Polarizability in the Quark-Diquark Model of the Neutron
- Absence of sign problem in the (saddle point approximation of the) nilpotency expansion of QCD at finite chemical potential