Physical particles of the massive Schwinger model

The massive Schwinger model is considered in the infinite momentum frame. By assuming its physical particles consist of two fermion bound states, we compute a spectrum. For fermions with large bare masses, the method is reliable. For low-mass fermions, we find we must include states of higher fermion number to adequately describe excited states of the fundamental boson of the theory. We do this for the scalar state in the limit of small bare fermion mass. This representation of the theory provides a unified treatment of both the weak and strong coupling limits, remaining in the fermion representation throughout. We have checked our numerical results with exact calculations wherever possible, and find good agreement.     

Chiral Schwinger model with massive fermions

We study the chiral Schwinger model with massive fermions. By bosonizing it within the path integral framework, we find an equivalent bosonic lagrangian with an interaction term of the sine-Gordon type. The consistency of the theory is discussed.     

Monte Carlo simulation of the massive Schwinger model

In this article we apply a previously proposed defermionization method to the study of two-dimensional QED (massive Schwinger model). We find good evidence for the spontaneous breaking of axial symmetry, i.e., $\text{〈}\text{ψ}\text{ψ〉≠0}$ in the massless limit.     

The boson-boson bound state in the massive Schwinger model

We use (fermion) mass perturbation theory for the massive Schwinger model to compute the boson-boson bound state mass in lowest order. For small fermion mass the lowest possible Fock state turns out to give the main contribution and leads to a second order result for the bound state mass.     

Electrostatic self-energy and Bekenstein entropy bound in the massive Schwinger model

We obtain the electrostatic energy of two opposite charges near the horizon of stationary black holes in the massive Schwinger model. Besides the confining aspects of the model, we discuss the Bekenstein entropy upper bound of a charged object using the generalized second law. We show that despite the massless case, in the massive Schwinger model the entropy of the black hole and consequently the Bekenstein bound are altered by the vacuum polarization.     

Eigenvalues for the massive Schwinger model from a finite-lattice Hamiltonian approach

A “finite-lattice” hamiltonian method is applied to the problem of calculating eigenvalues for the massive Schwinger model. The vacuum energy per site is obtained to an accuracy of 0.1%. The masses of the first two excited states are found to within an accuracy of order 1%, and between 1 and 5%, respectively. These results are an order of magnitude more precise than has been achieved previously.     

Physics of the Schwinger model

The Coulomb gas of massless fermions (Schwinger model) is solved in a one-dimensional space of finite lengthL using the boson representation of fermions. Special attention is paid to boundary effects and global degrees of freedom. It is shown that the mean current is not conserved, but oscillates. The theory is constructed in all charge sectors. The Wightman functions are calculated and the limitL is discussed.Work performed within the research program of the Sonderforschungsbereich 125, Aachen-Jülich-Köln     

Light-cone gauge Schwinger model

Nakawaki's Coulomb gauge solution to the Schwinger model is transformed to light-cone gauge. Various options for maintaining the gauge invariance necessary to satisfy the equations of motion are discussed. Satisfactory light-cone gauge solutions are found and are used to study light-cone quantization, the calculation of the dynamical operators and properties of the vacua in the light-cone representation. The solutions found here can be used to justify previous light-cone Tamm-Dancoff calculations performed by others.     

Schwinger model in the light-cone representation

Light-cone quantization of gauge field theory is considered. With a careful treatment of the relevant degrees of freedom and where they must be initialized, the results obtained in equal-time quantization are recovered, in particular the Mandelstam-Leibbrandt form of the gauge field propagator. Some aspects of the discretized light-cone quantization of gauge fields are discussed.     

Schwinger model in temporal gauge

Acta Physica Hungarica - Exact solution of the zero-mass Schwinger model is given in temporal gauge in the presence of arbitrary background charge density. The structure of the Hilbert space is...