79 research outputs found

    General Structure of Relativistic Vector Condensation

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    We study relativistic massive vector condensation due to a non zero chemical potential associated to some of the global conserved charges of the theory. We show that the phase structure is very rich. More specifically there are three distinct phases depending on the value of one of the zero chemical potential vector self interaction terms. We also develop a formalism which enables us to investigate the vacuum structure and dispersion relations in the spontaneously broken phase of the theory. We show that in a certain limit of the couplings and for large chemical potential the theory is not stable. This limit, interestingly, corresponds to a gauge type limit often employed to economically describe the ordinary vector mesons self interactions in QCD. We finally indicate for which physical systems our analysis is relevant.Comment: RevTex4 14 pages,4 figure

    Tau mesonic decays and strong anomaly of PCAC

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    Strong anomaly of the PCAC is found in τωππν\tau\rightarrow\omega \pi\pi\nu and ωρν\omega\rho\nu in the chiral limit. It originates in WZW anomaly. Theoretical result of τωππν\tau\rightarrow\omega\pi\pi\nu agrees with data well and the measurement of τωρν\tau\rightarrow\omega\rho\nu will confirm the strong anomaly of PCAC. The strong anomaly of PCAC is studied.Comment: 27 page

    Vacuum stability and the Cholesky decomposition

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    We discuss how the Cholesky decomposition may be used to ascertain whether a critical point of the field theory scalar potential provides a stable vacuum configuration. We then use this method to derive the stability conditions in a specific example.Comment: 7 page

    Fate of Vector Dominance in the Effective Field Theory

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    We reveal the full phase structure of the effective field theory for QCD, based on the hidden local symmetry (HLS) through the one-loop renormalization group equation including quadratic divergences. We then show that vector dominance (VD) is not a sacred discipline of the effective field theory but rather an accidental phenomenon peculiar to three-flavored QCD. In particular, the chiral symmetry restoration in HLS model takes place in a wide phase boundary surface, on which the VD is realized nowhere. This suggests that VD may not be valid for chiral symmetry restoration in hot and/or dense QCD.Comment: 4 pages, 3 figures. One reference added. Minor modification to shorten the manuscript. This is the version to appear in Physical Review Letter

    Effective chiral Lagrangians for spin-1 mesons

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    The commonly used types of effective theory for vector mesons are reviewed and their relationships clarified. They are shown to correspond to different choices of field for spin-1 particles and the rules for transforming between them are described. The importance of respecting chiral symmetry is stressed. The choice of fields that transform homogeneously under the nonlinear realisation of chiral symmetry imposes no preconceptions about the types of coupling for the mesons. This representation thus provides a convenient framework for relating different theories. It is also used to elucidate the nature of the assumptions in specific hidden-gauge and massive Yang-Mills models that have been widely used.Comment: 46 pages (RevTeX

    Electroweak Physics for Color Superconductivity

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    We construct the effective theories describing the electroweak interactions for the low energy excitations associated with the color superconductive phases of QCD at high matter density. The main result, for the 3 flavor case, is that the quasiparticle Goldstone boson π0\pi^0 decay into two physical massless photons is identical to the zero density case once we use the new Goldstone decay constant and the modified electric charge e~=ecosθ\widetilde{e}=e \cos\theta, with tanθ=2e/3gs\tan\theta =2e/\sqrt{3}g_s and gsg_s the strong coupling constant. For 2 flavors we find that the coupling of the quarks to the neutral vector boson Z0Z^0 is modified with respect to the zero density case. We finally point out possible applications of our result to the physics of compact objects.Comment: 23 pages, 1 Figure, RevTex. More discussion and references adde

    Role of Light Vector Mesons in the Heavy Particle Chiral Lagrangian

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    We give the general framework for adding "light" vector particles to the heavy hadron effective chiral Lagrangian. This has strong motivations both from the phenomenological and aesthetic standpoints. An application to the already observed D \rightarrow \overbar{K^*} weak transition amplitude is discussed.Comment: 19 pages, LaTeX documen

    The Superfluid and Conformal Phase Transitions of Two-Color QCD

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    The phase structure of two-color QCD is examined as a function of the chemical potential and the number of light quark flavors. We consider effective Lagrangians for two-color QCD containing the Goldstone excitations, spin-one particles and negative intrinsic parity terms. We discuss the possibility of a conformal phase transition and the enhancement of the global symmetries as the number of flavors is increased. The effects of a quark chemical potential on the spin-one particles and on the negative intrinsic parity terms are analyzed. It is shown that the phase diagram that is predicted by the linearly realized effective Lagrangian at tree-level matches exactly that predicted by chiral perturbation theory.Comment: ReVTeX, 23 pages, 3 figures. Discussion of vector condensation extended, two figures added, references adde

    The Pion Decay Constants and the Rho-Meson Mass at Finite Temperature in the Hidden Local Symmetry

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    We study the temperature dependence of the pion decay constant and rho-meson mass in the hidden local symmetry model at one loop. Using the standard imaginary time formalism, we include the thermal effect of rho meson as well as that of pion. We show that the pion gives a dominant contribution to the pion decay constant and rho-meson contribution slightly decreases the critical temperature. The rho-meson pole mass increases as T^4/m_\rho^2 at low temperature dominated by the pion-loop effect. At high temperature, although the pion-loop effect decreases the rho-meson mass, the rho-loop contribution overcomes the pion-loop contribution and rho-meson mass increases with temperature. We also show that the conventional parameter a is stable as the temperature increases.Comment: We added a comment on the correction to the rho-meson mass from the omega-pi loop. This is the final version to be published in Phys. Rev. D. 19 pages (LaTeX-RevTeX), 7 PostScript figure
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