10,870 research outputs found

    ERG and Schwinger-Dyson Equations - Comparison in formulations and applications --

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    The advantageous points of ERG in applications to non-perturbative analyses of quantum field theories are discussed in comparison with the Schwinger-Dyson equations. First we consider the relation between these two formulations specially by examining the large N field theories. In the second part we study the phase structure of dynamical symmetry breaking in three dimensional QED as a typical example of the practical applications.Comment: 13 pages, 6 figures, references are added. Invited talk presented at Second Conference on the Exact RG, Sept 18 - 22, 2000, Rome, Ital

    Enhancement of field renormalization in scalar theories via functional renormalization group

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    The flow equations of the Functional Renormalization Group are applied to the O(N)-symmetric scalar theory, for N=1 and N=4, in four Euclidean dimensions, d=4, to determine the effective potential and the renormalization function of the field in the broken phase. In our numerical analysis, the infrared limit, corresponding to the vanishing of the running momentum scale in the equations, is approached to obtain the physical values of the parameters by extrapolation. In the N=4 theory a non-perturbatively large value of the physical renormalization of the longitudinal component of the field is observed. The dependence of the field renormalization on the UV cut-off and on the bare coupling is also investigated.Comment: 20 pages, 7 figures. To appear in Physical Review

    Two-dimensional Lattice Gross-Neveu Model with Wilson Fermion Action at Finite Temperature and Chemical Potential

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    We investigate the phase structure of the two-dimensional lattice Gross-Neveu model formulated with the Wilson fermion action to leading order of 1/N expansion. Structural change of the parity-broken phase under the influence of finite temperature and chemical potential is studied. The connection between the lattice phase structure and the chiral phase transition of the continuum theory is clarified.Comment: 42 pages, 20 EPS figures, using REVTe

    Roles of axial anomaly on neutral quark matter with color superconducting phase

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    We investigate effects of the axial anomaly term with a chiral-diquark coupling on the phase diagram within a two-plus-one-flavor Nambu-Jona-Lasinio (NJL) model under the charge-neutrality and β\beta-equilibrium constraints. We find that when such constraints are imposed, the new anomaly term plays a quite similar role as the vector interaction does on the phase diagram, which the present authors clarified in a previous work. Thus, there appear several types of phase structures with multiple critical points at low temperature TT, although the phase diagrams with intermediate-TT critical point(s) are never realized without these constraints even within the same model Lagrangian. This drastic change is attributed to an enhanced interplay between the chiral and diquark condensates due to the anomaly term at finite temperature; the u-d diquark coupling is strengthened by the relatively large chiral condensate of the strange quark through the anomaly term, which in turn definitely leads to the abnormal behavior of the diquark condensate at finite TT, inherent to the asymmetric quark matter. We note that the critical point from which the crossover region extends to zero temperature appears only when the strength of the vector interaction is larger than a critical value. We also show that the chromomagnetic instability of the neutral asymmetric homogenous two-flavor color superconducting(2CSC) phase is suppressed and can be even completely cured by the enhanced diquark coupling due to the anomaly term and/or by the vector interaction.Comment: 15 pages, 5 figures, typos corrected, new references and some statements adde

    Nuclear Physics in a Susy Universe

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    We refine a previous zeroth order analysis of the nuclear properties of a supersymmetric (susy) universe with standard model particle content plus degenerate susy partners. No assumptions are made concerning the Higgs structure except we assume that the degenerate fermion/sfermion masses are non-zero. This alternate universe has been dubbed Susyria and it has been proposed that such a world may exist with zero vacuum energy in the string landscape.Comment: 8 pages, 1 figur

    Full QCD Light Hadron Spectrum and Quark Masses: Final Results from CP-PACS

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    We present the final results of the CP-PACS calculation of the light hadron spectrum and quark masses with two flavors of dynamical quarks. Simulations are made with a renormalization-group improved gauge action and a mean-field improved clover quark action for sea quark masses corresponding to mPS/mV≈0.8m_{\rm PS}/m_{\rm V} \approx 0.8--0.6 and the lattice spacing a=0.22a=0.22--0.11 fm. For the meson spectrum in the continuum limit a clearly improved agreement with experiment is observed compared to the quenched case, demonstrating the importance of sea quark effects. For light quark masses we obtain mudMSˉ(2GeV)=3.44−0.22+0.14m_{ud}^{\bar{MS}}(2GeV)=3.44^{+0.14}_{-0.22} MeV and msMSˉ(2GeV)=88−6+4m_s^{\bar{MS}}(2GeV)=88^{+4}_{-6} MeV (KK-input) and msMSˉ(2GeV)=90−11+5m_s^{\bar{MS}}(2GeV)=90^{+5}_{-11} MeV (ϕ\phi-input), which are reduced by about 25% compared to the values in quenched QCD.Comment: Lattice 2000 (Spectrum), 4 pages, 3 figure

    Renormalization flow of QED

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    We investigate textbook QED in the framework of the exact renormalization group. In the strong-coupling region, we study the influence of fluctuation-induced photonic and fermionic self-interactions on the nonperturbative running of the gauge coupling. Our findings confirm the triviality hypothesis of complete charge screening if the ultraviolet cutoff is sent to infinity. Though the Landau pole does not belong to the physical coupling domain owing to spontaneous chiral symmetry breaking (chiSB), the theory predicts a scale of maximal UV extension of the same order as the Landau pole scale. In addition, we verify that the chiSB phase of the theory which is characterized by a light fermion and a Goldstone boson also has a trivial Yukawa coupling.Comment: 4 pages, 1 figur

    Non-Perturbative Determination of cSWc_{\rm SW} in Three-flavor Dynamical QCD

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    We present a fully non-perturbative determination of the O(a)O(a) improvement coefficient cSWc_{\rm SW} in three-flavor dynamical QCD for the RG improved as well as the plaquette gauge actions, using the Schr\"odinger functional scheme. Results are compared with one-loop estimates at weak gauge coupling.Comment: 3 pages, 6 figures, Lattice2002(Improvement and Renormalization), Unnecessary files are remove
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