Relativistic path integral and relativistic Hamiltonians in QCD and QED
arXiv:1303.4952 · doi:10.1103/PhysRevD.88.025028
Abstract
The proper-time 4d path integral is used as a starting point to derive the new explicit parametric form of the quark-antiquark Green's function in gluonic and QED fields, entering as a common Wilson loop. The subsequent vacuum averaging of the latter allows to derive the instantaneous Hamiltonian. The explicit form and solutions are given in the case of the mesons in magnetic field.
27 pages,2 figures,misprints corrected
References in corpus (9)
- Decay constants of the heavy-light mesons from the field correlator method
- Meson Spectrum in Strong Magnetic Fields
- Asymptotic freedom in strong magnetic field
- Spin interactions in mesons in strong magnetic field
- Magnetic moments of mesons
- Quark-Antiquark System in Ultra-Intense Magnetic Field
- Magnetic test of chiral dynamics in QCD
- Neutral 3-body system in a strong magnetic field: factorization and exact solutions
- Glueballs, gluerings and gluestars in the d=2+1 SU(N) gauge theory
Cited by in corpus (26)
- Nambu-Goldstone mesons in strong magnetic field
- Pion decay constants in a strong magnetic field
- The quark-hadron thermodynamics in magnetic field
- Field Correlator Method for the confinement in QCD
- Spin interactions in mesons in strong magnetic field
- Neutron in Strong Magnetic Fields
- Chiral physics in the magnetic field with quark confinement contribution
- Magnetic confinement and the Linde problem
- Recoupling Mechanism for exotic mesons and baryons
- Nonperturbative QCD thermodynamics in the external magnetic field
- Chiral Lagrangian and chiral quark model from confinement in QCD
- Boosting QED and QCD bound states in the path integral formalism
- QED spectra in the path integral formalism
- Magnetic susceptibility at zero and nonzero chemical potential in QCD and QED
- Scalar mesons in the chiral theory with quark degrees of freedom
- Nonperturbative approach to the parton model
- Magnetic focusing in atomic, nuclear and hadronic processes
- Exact relativistic Green's functions for the time-independent potentials
- Proton and neutron form factors with quark orbital excitations
- Lepton decay constants of light mesons
- Strong decays with the boost-corrected wave functions
- Chiral dynamics with confinement versus the standard chiral theory
- Hadron Form Factors with the Boost-Corrected Wave Functions
- Hadron wave functions in high-energy scattering, form factors and strong decays: the effects of the Lorentz contracted form
- Electric charge in the stochastic electric field
- Mesons in ultra-intense magnetic field: an evaded collapse