Chiral symmetry breaking and the pion wave function

Mishra, Hari Niwas; Misra, S. P.

doi:10.1103/physrevd.48.5376

Cited by 22 publications

(47 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We shall next consider an ansatz for the ground state with quark-antiquark condensates which includes both the scalar as well as CP violating pseudoscalar channel. To make notations clear, we first write down the field operator expansion for the quark fields as given in [16,17],…”

Section: Njl Model With Cp Violation and An Ansatz For The Groundmentioning

confidence: 99%

StrongCPviolation and chiral symmetry breaking in hot and dense quark matter

Chatterjee

Mishra

2012

Phys. Rev. D

View full text Add to dashboard Cite

We investigate chiral symmetry breaking and strong CP violation effects in the phase diagram of strongly interacting matter. We demonstrate the effect of strong CP violating terms on the phase structure at finite temperature and densities in a 3-flavor Nambu-Jona-Lasinio (NJL) model including the Kobayashi-Maskawa-t'Hooft (KMT) determinant term. This is investigated using an explicit structure for the ground state in terms of quark-antiquark condensates for both in the scalar and the pseudoscalar channels. CP restoring transition with temperature at zero baryon density is found to be a second order transition at θ = π while the same at finite chemical potential and small temperature turns out to be a first order transition. Within the model, the tri-critical point turns out to be (Tc, µc) ≃ (273, 94) MeV at θ = π for such a transition.

show abstract

Section: Njl Model With Cp Violation and An Ansatz For The Groundmentioning

confidence: 99%

StrongCPviolation and chiral symmetry breaking in hot and dense quark matter

Chatterjee

Mishra

2012

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…The four fermi coupling is also renormalized as in Eq. (19), by subtracting out the vacuum contribution and relating it to the s-wave scattering length as in Ref.s [10,24,31]. This makes all the quantities well defined and finite.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…In the following we shall discuss which phase is thermodynamically favorable at what density as the chemical potential difference is varied for a given coupling and a given average density. For numerical calculations, it is convenient to write the Eq.s (19)(20)(21)(22) in terms of dimensionless quantities. Thus we make the substitutions |k| = k f x, q = k f y, ∆ = ǫ f z,ν = ǫ f ν, δ ν = ǫ f δ, where, k f is the average fermi momentum and ǫ f is the corresponding fermi energy.…”

Section: Evaluation Of Thermodynamic Potential and The Gap Equationmentioning

confidence: 99%

See 1 more Smart Citation

LOFF and breached pairing with cold atoms

Mishra

2009

Eur. Phys. J. D

View full text Add to dashboard Cite

Abstract. We investigate here the Cooper pairing of fermionic atoms with mismatched fermi surfaces using a variational construct for the ground state. We determine the state for different values of the mismatch of chemical potential for weak as well as strong coupling regimes including the BCS BEC cross over region. We consider Cooper pairing with both zero and finite net momentum. Within the variational approximation for the ground state and comparing the thermodynamic potentials, we show that (i) the LOFF phase is stable in the weak coupling regime, (ii) the LOFF window is maximum on the BEC side near the Feshbach resonance and (iii) the existence of stable gapless states with a single fermi surface for negative average chemical potential on the BEC side of the Feshbach resonance.

show abstract

“…We have seen earlier that chiral symmetry breaking takes place with the formation of quark antiquark condensates in perturbative vacuum [9,10,[18][19][20][21][22]. We consider the quark field operator expansion in momentum space given as [9,10,18,19] …”

Section: An Ansatz For the Ground Statementioning

confidence: 99%

Chiral symmetry breaking, color superconductivity and quark matter phase diagram: a variational approach

Mishra¹,

Parikh²

2001

Nuclear Physics A

View full text Add to dashboard Cite

We discuss in this note simultaneous existence of chiral symmetry breaking and color superconductivity at finite temperature and density in a Nambu-Jona-Lasinio type model. The methodology involves an explicit construction of a variational ground state and minimisation of the thermodynamic potential. There exists solutions to the gap equations at finite densities with both quark antiquark as well as diquark condensates for the "ground" state. However, such a phase is thermodynamically unstable with the pressure being negative in this region. We also compute the equation of state, and obtain the structure of the phase diagram in the model. PACS number(s): 12.38.Gc

show abstract

Chiral symmetry breaking and the pion wave function

Cited by 22 publications

References 34 publications

StrongCPviolation and chiral symmetry breaking in hot and dense quark matter

StrongCPviolation and chiral symmetry breaking in hot and dense quark matter

LOFF and breached pairing with cold atoms

Chiral symmetry breaking, color superconductivity and quark matter phase diagram: a variational approach

Contact Info

Product

Resources

About