We study the relativistic quark-antiquark system embedded in a magnetic field (MF). The Hamiltonian containing confinement, one gluon exchange, and spin-spin interaction is derived. analytically follow evolution of lowest meson states as function MF strength. Calculating exchange energy $⟨{V}_{\mathrm{OGE}}⟩$ contribution $⟨{a}_{SS}⟩$ we have observed that these corrections remain finite at large MF, preventing vanishing total $\ensuremath{\rho}$ mass some ${B}_{\mathrm{crit}}$, previously...

Perturbative gluon exchange interaction between quark and antiquark, or in a 3q system, is enhanced magnetic field may cause vanishing of the total qq[over ¯] mass, even unlimited decrease it-recently called collapse QCD. The analysis one-loop correction below shows considerable softening this phenomenon due to loop contribution, similar Coulomb case QED, leading approximately logarithmic damping (<V>≈O(1/ln|eB|)) at large field.

Spectra of $$ q\overline{q} hadrons are investigated in the framework Hamiltonian obtained from relativistic path integral external homogeneous magnetic field. The spectra all 12 spin-isospin s-wave states, generated by π and ρ mesons with different spin projections, studied both analytically numerically on lattice as functions (magnetic field) eB. Results agreement demonstrate three types behavior, characteristic splittings predicted theory.

We investigate the electrical conductivity of dense quark matter in vicinity phase transition line. show that (i) at high density Drude does not depend on magnetic field up to $eB\ensuremath{\sim}1{0}^{19}\text{ }\text{ }G$, and (ii) precritical region, fluctuation (paraconductivity) dominates over one.

The standard chiral perturbation theory is known to predict much weaker effects in magnetic field, than found numerical lattice data. To overcome this disagreement we are using the effective confinement Lagrangian, $$L_{ECCL}$$ , containing both and quark degrees of freedom, presence external field. Without fields reduces ordinary Lagrangian $$L_{EC L}$$ yielding lowest order $$O(\partial _\mu \varphi )^2$$ all relations, providing explicit coefficients higher $$O(p^4, p^6)$$ orders....

A relativistic world-line Hamiltonian for strongly interacting $3q$ systems in a magnetic field is derived from the path integral corresponding Green's function. The neutral baryon obeys pseudomomentum conservation and allows factorization of c.m. internal motion. resulting expression mass written explicitly with account hyperfine, one pion exchange, gluon exchange (color Coulomb) interaction. neutron fast decreasing field, losing $1/2$ its value at $eB\ensuremath{\sim}0.25\text{ }\text{...

We study the relativistic quark-antiquark system embedded in magnetic field (MF). The Hamiltonian containing confinement, color Coulomb and spin-spin interaction is derived. analytically follow evolution of lowest neutral meson state as a function MF strength. Calculating energy $V_{Coul}$ we have observed unbounded negative (at least limit large $N_c$) contribution at which makes mass for $eB> eB^{QCD}_{crit}$. display $\pi^0$ $\rho^0$ masses functions comparison with recent lattice data.

Thermodynamics of the quark–gluon plasma at finite density is studied in framework Field Correlator Method, where thermodynamical effects Polyakov loops and color magnetic confinement are taken into account. Having found good agreement with numerical lattice data for zero density, we calculate pressure [Formula: see text], text] MeV MeV. For first time, explicit integral form this region, demonstrating analytic structure complex plane. The resulting multiple branch points Roberge–Weiss...

The thermodynamics of quarks and gluons strongly depends on the vacuum colormagnetic field, which grows with temperature $T$, so that spatial string tension $\sigma_s ={\rm const}~ g^4 (T) T^2$. We investigate below what happens when one imposes in addition constant magnetic field discover remarkable structure resulting thermodynamic potential.

A non-perturbative (np) method of Field Correlators (FCM) was applied to study QCD at temperatures above the deconfinement transition ($1<T/T_c<3,~T_c\sim0.16~GeV$) and nonzero baryon densities (baryon chemical potential $\mu_B<0.5~GeV$) in an external uniform magnetic field ($eB<0.5~GeV^2$). Within FCM, np high-temperature dynamics is embodied Polyakov loop Debye mass due Color-Magnetic Confinement. Analytic expressions for quark pressure susceptibility were obtained. The represented as...

Abstract We propose a new approach to exploring relativistic compound systems in an external magnetic field. A Hamiltonian that includes confinement, one-gluon exchange, and spin–spin interaction has been obtained applying the path integral formalism. The masses of quark–antiquark states correspond at zero field ρ- π-meson neutron mass have calculated as function most interesting phenomena occur superstrong fields on order 10 18 − 20 G emerge for short time peripheral collisions heavy ions.

An approach to the properties of $\eta$--$\eta'$ system developed solve famous $U(1)$ problem is used calculate partial widths ratios $\eta$ and $\eta'$ in $B^0 \rightarrow J/\Psi \ \eta(\eta',\ \pi^0)$ $B_s \eta(\eta')$ decays. We obtain results agreement with experimental data.

Fermion currents in dense quark matter embedded into magnetic field are under intense discussions motivated by Chiral Magnetic Effect. We argue that conductivity of may be independent the direction and not proportional to strength.

Quark--gluon matter produced in relativistic heavy--ion collisions(RHIC and LHC) is subject to a super--strong magnetic field(MF) $\sim 10^{18} - 10^{20} G$. Quark matter(QM) response MF allows get new insight on its properties. We give cursory glance induced effects.

Spectra of $q \bar q$ mesons are investigated in the framework Hamiltonian obtained from relativistic path integral external homogeneous magnetic field. The spectra all 12 spin-isospin s-wave states generated by $\pi$- and $\rho$-mesons with different spin projections, studied analytically as functions field strength. Three types behavior characteristic splittings found. results agreement recent lattice calculations.

The spectra of charged and neutral $\rho$ $\pi$ mesons in the framework vacuum correlator method obtained from relativistic Hamiltonian external homogeneous magnetic field (MF). all 12 spin-isospin s-wave states generated by $q \bar{q}$ light with different spin projections are calculated analytically as a function strength. Three types asymptotic behaviour strong limit found: two them grow MF last one tend to be constant (zero mode). mass zero mode becomes small whcih can source meson...

Thermodynamics of the quark-gluon plasma at finite density is studied with vacuum correlator method. The contribution nonperturbative effects defined by Polyakov loops and colormagnetic confinement. An analytical expression was obtained for equation state $P(T,\mu)$ $0 < \mu 400 \ MeV$ in a good agreement current lattice data zero density. A set branching points were found complex $\mu$-plane which coincide Roberge-Weiss singularities.