Nambu-Jona-Lasinio version of magnetic monopole physics with dual Dirac strings

Abstract

Magnetic monopoles are considered as massless fermion elds interacting via local four{monopole interaction of the Nambu{Jona{Lasinio kind leading to monopole condesation. Condensation of magnetic monopole currents and any derivative of them are obtained. It is shown that the bosonized version of this Monopole{Nambu{ Jona{Lasinio (MNJL) model is reducing to London 0 s theory of dual superconductivity within Dirac 0 s extension of Maxwell 0 s Electrodynamics. The a nity of the MNJL{model with Compact Quantum Electrodynamics is discussed.

Quantum and string shape fluctuations in the dual monopole Nambu–Jona–Lasinio model with dual Dirac strings

“…The sheet is parametrized by the internal coordinates −∞ < τ < ∞ and 0 ≤ σ ≤ π, so that X µ (τ, 0) = X µ −Q (τ ) and X µ (τ, π) = X µ Q (τ ) represent the world lines of an antiquark and a quark [1,2,5]. Within the definition Eq.…”

“…As has been shown in Refs. [1,2] the vacuum expectation values of time-ordered products of densities expressed in terms of the massless-monopole field, i.e., the magnetic monopole Green function 10) where Γ i (i = 1, . .…”

Quantum and String Shape Fluctuations in the Dual Monopole Nambu-Jona-Lasinio Model With Dual Dirac Strings

“…[1,2] the vacuum expectation values of time-ordered products of densities expressed in terms of the massless-monopole field, i.e., the magnetic monopole Green function 10) where Γ i (i = 1, . .…”

Quantum and string shape fluctuations in the dual monopole Nambu–Jona–Lasinio model with dual Dirac strings

“…The mass of the massive magnetic monopole field χ M (x) obeys the gap-equation [1,2]: M = −2G <χ(0)χ(0) >= GM 2π 2 J 1 (M). (1.4) After the integration over magnetic monopole degrees of freedom the effective Lagrangian containing quarks, antiquarks and the fields of scalar σ and dual-vector C µ collective excitations reads…”

“…The "color" electric field strength E µν (x), induced by a dual Dirac string, is defined following [1,2] as 8) where X µ = X µ (τ, σ) represents the position of a point on the world sheet swept by the string. The sheet is parametrized by the internal coordinates −∞ < τ < ∞ and 0 ≤ σ ≤ π, so that X µ (τ, 0) = X µ −Q (τ ) and X µ (τ, π) = X µ Q (τ) represent the world lines of an antiquark and a quark [1,2,5].…”