134 citations · 846 across the 56 of their papers we have counts for
19 papers · 1 filter
Excited fermions on kinks and the Dirac sea
Danial Saadatmand, Herbert Weigel
We study quantum effects of recently discovered kink solitons which are constructed self-consistently by coupling to a single, excited fermion bound state. Our studies are based on…
Quantum Effects of Solitons in the Self-Dual Impurity Model
I. Takyi, H. Weigel
We compute the vacuum polarization energies (VPE) of solitons in a self-dual impurity model in which the soliton profiles take the shape of a separated kink-antikink pair. Classica…
Quantum energies of BPS vortices in and
N. Graham, H. Weigel
We consider vortices in scalar electrodynamics and compute the leading quantum correction to their energies for the BPS case of identical classical masses of the Higgs and gauge fi…
Quantum Corrections to Soliton Energies
N. Graham, H. Weigel
We review recent progress in the computation of leading quantum corrections to the energies of classical solitons with topological structure, including multi-soliton models in one…
Winding number dependence of quantum vortex energies at one-loop
N. Graham, H. Weigel
We compute the one-loop vacuum polarization energies of Abrikosov-Nielsen-Olesen (ANO) vortices with topological charge in scalar electrodynamics, for the BPS case of equal gau…
Quantum Corrections to Solitons in the Model
I. Takyi, M. K. Matfunjwa, H. Weigel
We compute the vacuum polarization energy of kink solitons in the model in one space and one time dimensions. There are three possible field potentials that have eight powe…
Vacuum polarization energy of the Shifman-Voloshin soliton
H. Weigel, N. Graham
We compute the vacuum polarization energy of soliton configurations in a model with two scalar fields in one space dimension using spectral methods. The second field represents an…
Emerging Translational Variance: Vacuum Polarization Energy of the kink
H. Weigel
We propose an efficient method to compute the vacuum polarization energy of static field configurations that do not allow a decomposition into symmetric and anti-symmetric channels…
Vacuum Polarization Energy for General Backgrounds in One Space Dimension
H. Weigel
For field theories in one time and one space dimensions we propose an efficient method to compute the vacuum polarization energy of static field configurations that do not allow a…
Attractive Electromagnetic Casimir Stress on a Spherical Dielectric Shell
N. Graham, M. Quandt, H. Weigel
Based on calculations involving an idealized boundary condition, it has long been assumed that the stress on a spherical conducting shell is repulsive. We use the more realistic ca…
Quantum Stabilization of a Closed Nielsen-Olesen String
M. Quandt, N. Graham, H. Weigel
We revisit the classical instability of closed strings in the Abelian Higgs model. The instability is expressed by a vanishing energy as the torus-like configuration shrinks to zer…
Fermion Energies in the Background of a Cosmic String
N. Graham, M. Quandt, H. Weigel
We provide a thorough exposition, including technical and numerical details, of previously published results on the quantum stabilization of cosmic strings. Stabilization occurs th…
On the Decay of Soliton Excitations
H. Weigel
In field theory the scattering about spatially extended objects, such as solitons, is commonly described by small amplitude fluctuations. Since soliton configurations often break i…
Quantum stabilization of Z-strings, a status report on D=3+1 dimensions
O. Schroeder, N. Graham, M. Quandt +1
We investigate an extension to the phase shift formalism for calculating one-loop determinants. This extension is motivated by requirements of the computation of Z-string quantum e…
Quantum Energies of Strings in a 2+1 Dimensional Gauge Theory
N. Graham, M. Quandt, O. Schroeder +1
We study classically unstable string type configurations and compute the renormalized vacuum polarization energies that arise from fermion fluctuations in a 2+1 dimensional analog…
Energies of Quantum QED Flux Tubes
H Weigel
In this talk I present recent studies on vacuum polarization energies and energy densities induced by QED flux tubes. I focus on comparing three and four dimensional scenarios and…
Dirichlet Spheres in Continuum Quantum Field Theory
H. Weigel
We study the vacuum polarization (Casimir) energy in renormalizable, continuum quantum field theory in the presence of a background field, designed to impose Dirichlet boundary con…
Casimir Energies in the Light of Renormalizable Quantum Field Theories
H. Weigel
Effective hadron models commonly require the computation of functional determinants. In the static case these are one--loop vacuum polarization energies, known as Casimir energies.…
Casimir Energies in Light of Quantum Field Theory
N. Graham, R. L. Jaffe, V. Khemani +3
We study the Casimir problem as the limit of a conventional quantum field theory coupled to a smooth background. The Casimir energy diverges in the limit that the background forces…