Session R6: QCD

Inhomogeneous Phases in the QCD-Phase Map

I will discuss the energetically favored formation of an inhomogeneous condensate of quarks and holes in QCD at intermediate densities and the implications of such a phase for the behavior of QCD near the critical point. Potential for experimentally probing this phase with the energy-beam scan at RHIC will be outlined.   

BCS-BEC Crossover in Strongly Coupled Quark Matter

We investigate the possibility of a crossover from the BCS to BEC (Bardeen-Cooper-Schrieffer to Bose-Einstein Condensation) phase for strongly-coupled quark matter, and its implications for the system equation of state. The study uses zero temperature effective quark models at densities beyond nuclear density. We use mean-field approximation and consider quark-quark, quark-antiquark, and diquak-diquark interactions. We determine the region of parameters where the crossover can take place for a stable system (i.e. that with a corresponding positive pressure).   

Induced magnetic moment in effective models of quarks in a magnetic field

The generation of magnetic moment condensates in NJL-type effective models of quarks in the presence of a magnetic field is investigated. It will be shown how for particle-antiparticle pairs, the magnetic moment condensate significantly increases the critical temperature for chiral restoration. For diquark pairs, it will be proved that the magnetic moment condensate enhances the condensation energy and the system magnetization.   

Do the superfluid vortices in CFL quark matter spontaneously decay?

It has been suggested in literature that the usual superfluid vortices/strings in high density color superconductivity are actually unstable. The idea is that there could be more fundamental strings namely the non-Abelian semi-superfluid strings which have color gauge flux tube. A combination of three such semi-superfluid strings which have zero net color flux is more stable than a single superfluid string, provided that the separation between the semi-superfluid strings is much larger than the size of each one. Is the semi-superfluid string configuration more stable than the superfluid string even for small separations? Does the single superfluid string spontaneously break into semi-superfluid strings? In this talk we offer some results that would help us answer these questions.   

Quantum Electrodynamics Interpolated Between Instant Form and Front Form

Among the three forms of relativistic dynamics proposed by Dirac in 1949, the front form of relativistic dynamics now known as the light-front dynamics (LFD) appears to have definite advantages over the instant form dynamics, when it deals with the hadronic processes where the relativistic effects are significant. In particular, LFD may save a substantial dynamical effort put in the instant form dynamics with respect to getting the QCD solutions that reflect the full Poincar\'e symmetries, due to the built-in boost invariance and simpler vacuum property. As an effort to understand how the familiar instant form dynamics (IFD) transforms to LFD, we interpolate the two forms of dynamics by introducing an interpolation angle that changes the ordinary time $t$ to light front time $(t + z/c)/\sqrt{2}$. In this presentation, we report our derivation of the polarization vectors for photon and the helicity spinors for spin-1/2 fermion that interpolate between IFD and LFD and the application of our results to the lowest-order QED scattering amplitudes. Our analysis makes clear the distinction between the infinite momentum frame (IMF) and the LFD.   

An Introduction to Euclidean Relativistic Quantum Mechanics

In nuclear physics, sub-nucleonic degrees of freedom are expected to become relevant at the few-Gev scale. Models at this scale require a relativistic treatment. The Euclidean formulation of relativistic quantum mechanics offers an efficient framework to model systems of a finite number of degrees of freedom at this scale. At the same time, the input Euclidean Green's functions are closely related to Green functions of Euclidean field theory. We discuss the formulation of the relativistic theory. We also develop scattering theory in this formalism. A solvable model is utilized to show the usefulness of this method.   

Branched Hamiltonians and Supersymmetry

Some examples of branched Hamiltonians are explored both classically and in the context of quantum mechanics, as recently advocated by Shapere and Wilczek. These are in fact cases of switchback potentials, albeit in momentum space, as previously analyzed for quasi-Hamiltonian chaotic dynamical systems in a classical setting, and as encountered in analogous renormalization group flows for quantum theories which exhibit RG cycles. A basic two-worlds model, with a pair of Hamiltonian branches related by supersymmetry, is considered in detail.   

The Electron as a Heisenberg Fluid - Linking Quantum Behavior with Relativity

In this paper, the previous work$^{\mathrm{\thinspace }}$ by this author to address the quantum relativity connection is further extended The electron here is modeled as a fluid obeying the Uncertainty Principle of Heisenberg. Such a Heisenberg fluid would exhibit the same electromagnetic coupling to the nucleus as predicted by electromagnetism; however, the fluid also satisfies the Einstein's equation of General Relativity for a curved space-time, demonstrating that space-time geometry within the atom may not be flat. The model relates uncertainty to a particular curved space-time structure. The possibility of curved space-times within the atom generated by Heisenberg pressures provides a subtle link between quantum theory and General Relativity and suggests that quantum theory can be a background dependent model. The geodesic force from the curved space-time generated by the fluid is the same as the electromagnetic force between the electron and the nucleus thus providing internal consistency to the model. The Energy-Momentum-Stress Tensor governing this fluid has an analogy to the tensor used to model Cosmic Microwave Radiation. The uncertainty appears to be largely related to the time transformation resulting from the curved space-time geometry of the fluid.   

The nature of magnetic phenomena is the electric phenomenon new iterpretationg

The nature of magnetic phenomena is the electric phenomenon, that is the result of the negative and positive charge of the regular ``matrix,'' also a positive, negative charge spread by the form of the ``matrix,'' but also can be said to be the waves of electric current (the current spread by the form of wave but only transfer form, the form is not move with wave), its characteristics are: magnetic field plane and the current plane is perpendicular to each other (make up the current wave), inside the material, it performance the current wave (electric field \textless - \textgreater, magnetic field). Sent to outer space it become an electromagnetic wave, an electromagnetic wave particle (positive, negative particle move in a circle)is the smallest needle, it is unified with Maxwell electromagnetic theory, magnetic monopoles do not exist. The mechanism of information between cable transmission and wireless transmission is the same.