arXiv subjects

Masayasu Harada

Publications and source records attributed to Masayasu Harada.

At least 145 records · Page 8Linked to original sources

arXiv2001

New Pattern of Chiral Symmetry Restoration

In this talk I summarize our recent works on the chiral symmetry restoration in the large flavor QCD using the hidden local symmetry (HLS) as an effective field theory of QCD. Bare parameters in the HLS are determined by matching the HLS with QCD at the matching scale through the Wilsoninan matching conditions. This Wilsonian matching leads to the vector manifestation of the Wigner realization of the chiral symmetry in which the symmetry is restored by the massless degenerate pion (and its flavor partners) and rho meson (and its flavor partners) as the chiral partner.

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arXiv2000

Vector Manifestation of the Chiral Symmetry

We propose ``vector manifestation (VM)'' of the Wigner realization of the chiral symmetry in which the symmetry is restored at the critical point by the massless degenerate pion (and its flavor partners) and rho meson (and its flavor partners) as the chiral partner, in sharp contrast to the traditional manifestation á la linear sigma model where the symmetry is restored by the degenerate pion and scalar meson. The application to the chiral phase transition of the large Nf QCD is performed using the hidden local symmetry Lagrangian. Combined with the Wilsonian matching proposed recently, the VM determines the critical number of massless flavors Nf \simeq 5 without much ambiguity.

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arXiv2000

Pi Pi Scattering and Scalar Mesons in an Effective Chiral Lagrangian

In this talk I summarize recently proposed mechanisms to understand pi pi scattering to 1 GeV in an effective chiral Lagrangian. The Lagrangian includes higher resonances in addition to pions consistently with the chiral symmetry. Iso-spin zero S-wave partial wave amplitude is reproduced up till about 1.2 GeV by including a pion self-interaction and resonant pole exchanges of rho, f0(980) and sigma derived from the effective chiral Lagrangian. The best fit shows that sigma has a mass of around 560 MeV and a width of about 370 MeV.

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arXiv1999

Conformal Phase Transition and Fate of the Hidden Local Symmetry in Large N_f QCD

It is observed that the Hidden Local Symmetry (HLS) for the vector mesons in the ordinary QCD with smaller N_f plays the role of the "Higgsed magnetic gauge symmetry" for the Seiberg duality in the SUSY QCD. For large N_f where the conformal phase transition with chiral restoration and deconfinement is expected to take place, we find that the HLS model also exhibits the chiral restoration by the loop corrections (including the quadratic divergence) in a manner similar to that in the CP^{N-1} model, provided that the bare HLS Lagrangian respects the Georgi's vector limit at a certain N_f (\approx 7).

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arXiv1998

Aspects of Soft and Spontaneous CP Violation

We study four different models for CP violation: the standard (KM) model, the aspon model of spontaneous breaking and two models of soft breaking. In all except the standard model, the strong CP problem is addressed and solved. Testable predictions for the area of the unitarity triangle and for (epsilon'/epsilon)_K are emphasized. The issue of CP violation may well become the first place where the standard model of particle theory is shown definitively to be deficient. There are two reasons for expecting this to happen: (1) the strong CP problem is still not understood in the unadorned standard model and (2) the KM mechanism, although unquestionably present, may not provide the full explanation of epsilon_K and (epsilon'/epsilon)_K.

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arXiv1998

Chiral Phase Transition of QCD at Finite Temperature and Density from Schwinger-Dyson Equation

We study the chiral phase transition of QCD at finite temperature and density by numerically solving Schwinger-Dyson equation for the quark propagator with the improved ladder approximation in the Landau gauge. Using the solution we calculate a pion decay constant from a generalized version of Pagels-Stokar formula. Chiral phase transition point is determined by analyzing an effective potential for the quark propagator. We find solutions for which chiral symmetry is broken while the value of the effective potential is larger than that for the chiral symmetric vacuum. These solutions correspond to meta-stable states, and the chiral symmetric vacuum is energetically favored. We present a phase diagram on the general temperature--chemical potential plane, and show that phase transitions are of first order in wide range.

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arXiv1998

Constraints from Precision Electroweak Data on Leptoquarks and Bileptons

Explicit expressions are derived for the oblique parameters $S$ and $T$ in certain extensions of the standard model. In particular, we consider leptoquarks and bileptons, and find phenomenological constraints on their allowed masses. Leptoquarks suggested by the neutral and charged current anomalies at HERA can give improved agreement with both $S$ and $T$. If bileptons are the only new states, the singly-charged one must be heavier than the directly-established lower limit. Finally, we study SU(15) grand unification and show that there are regions of parameter space where the theory is compatible with experimental data.

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arXiv1998

Neutron Electric Dipole Moment and Spontaneous CP Breaking

In a model where CP is spontaneously broken, the aspon model, it is shown by extending previous arguments about B decay and the value of $Re(ε^{'}/ε)$ in the kaon system, that the neutron electric dipole moment $D_n$ is bounded from below by $D_n \geq 10^{-29}$e.-cm.

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arXiv1998

Kaon Spontaneous CP Violation Reevaluated

The CP parameters $ε$ and $ε'/ε$ are calculated in the aspon model of spontaneous CP violation, a model which solves the strong CP problem. A new range for the scale of spontaneous breaking of CP is found. It is shown that $ε'/ε$ is suppressed by $\sim x^2 v^2/(κ^2 \sin^5 θ_C) \sim 5 \times 10^{-3}$ relative to the Standard Model. If experiment finds that $ε'/ε$ is $10^{-4}$ or greater in magnitude, it will mean that the present approach to spontaneous CP violation is excluded.

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arXiv1997

S and T for Leptoquarks and Bileptons

We calculate contributions to the oblique parameters $S$ and $T$ for leptoquarks and bileptons, and find phenomenological constraints on their allowed masses. Leptoquarks suggested by the neutral and charged current anomalies at HERA can give improved agreement with both $S$ and $T$. If bileptons are the only new states, the singly-charged one must be heavier than the directly-established lower limit. We also consider SU(15) grand unification to find when it can be consistent with precision electroweak measurements.

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arXiv1997

Generalization of the Bound State Model

In the bound state approach the heavy baryons are constructed by binding, with any orbital angular momentum, the heavy meson multiplet to the nucleon considered as a soliton in an effective meson theory. We point out that this picture misses an entire family of states, labeled by a different angular momentum quantum number, which are expected to exist according to the geometry of the three-body constituent quark model (for N_C=3). To solve this problem we propose that the bound state model be generalized to include orbitally excited heavy mesons bound to the nucleon. In this approach the missing angular momentum is ``locked-up'' in the excited heavy mesons. In the simplest dynamical realization of the picture we give conditions on a set of coupling constants for the binding of the missing heavy baryons of arbitrary spin. The simplifications made include working in the large M limit, neglecting nucleon recoil corrections, neglecting mass differences among different heavy spin multiplets and also neglecting the effects of light vector mesons.

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arXiv1997

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

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_ρ^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.

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arXiv1997

Existence of sigma meson in pi-pi scattering

In this talk I summarize a recently proposed mechanism to understand pi pi scattering to 1 GeV. The model is motivated by the 1/Nc expansion to QCD, and includes a current algebra contact term and resonant pole exchanges. Chiral symmetry plays an important role in restricting the form of the interactions. The existence of a broad low energy scalar (sigma) is indicated.

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arXiv1996

Comment on ``Confirmation of the Sigma Meson''

We comment on the recent paper by N.A. Tornqvist and M. Roos published in Phys. Rev. Lett. 76, 1575 (1996).

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arXiv1996

Hidden Structure in a Lagrangian for Hyperfine Splitting of the Heavy Baryons

We investigate the hyperfine splitting of the heavy baryons in the bound-state approach. We start with an ordinary relativistic Lagrangian which has been extensively used to discuss finite mass corrections to the heavy limit predictions. It turns out that the dominant contribution arises from terms which do not manifestly break the heavy spin symmetry. The actual heavy spin violating terms are uncovered by carefully performing a 1/M expansion of this Lagrangian.

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arXiv1996

Pi Pi scattering in an effective chiral Lagrangian

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arXiv1995

Simple Description of Pion-Pion Scattering to 1 GeV

Motivated by the 1/Nc expansion, we present a simple model of pion-pion scattering as a sum of a `current-algebra' contact term and resonant pole exchanges. The model preserves crossing symmetry as well as unitarity up to 1.2 GeV. Key features include chiral dynamics, vector meson dominance, a broad low energy scalar (sigma) meson and a `Ramsauer-Townsend' mechanism for the understanding of the 980 MeV region. We discuss in detail the `regularization' (corresponding to rescattering effects) necessary to make all these nice features work.

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arXiv1995

Effects of Symmetry Breaking on the Strong and Electroweak Interactions of the Vector Nonet

Starting from a chiral invariant and quark line rule conserving Lagrangian of pseudoscalar and vector nonets we introduce first and second order symmetry breaking as well as quark line rule violating terms and fit the parameters, at tree level, to many strong and electroweak processes. A number of predictions are made. The electroweak interactions are included in a manifestly gauge invariant manner. The resulting symmetry breaking pattern is discussed in detail. Specifically, for the ``strong'' interactions, we study all the vector meson masses and V -> ϕϕdecays, including isotopic spin violations. In the electroweak sector we study the { rho^0 , omega , phi } -> e^+e^- decays, { pi^+ , K^+ , K^0 } ``charge radii'', K_{l3} ``slope factor'' and the overall e^+e^- -> pi^+ pi^- process. It is hoped that the resulting model may be useful as a reasonable description of low energy physics in the range up to about 1 GeV.

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