activity
19982026
most citedEnergy, Central Charge, and the BPS Bound for 1+1 Dimensional Supersymmetric Solitons

98 citations · 436 across the 18 of their papers we have counts for

collaborators

18 papers

hep-th2026

Vacuum Polarization Energy of a Nonzero Radius Cosmic String Induced Spacetime

Noah Graham, Herbert Weigel

We calculate the vacuum polarization energy (VPE) of a scalar field in the background of a nonsingular cosmic string in spacetime dimensions. Our calculation expresses the VP…

gr-qc2025★ 2 cited

Renormalized Quantum Stress-Energy Tensor of a Nonzero Radius Cosmic String

Noah Graham

We calculate the effects of quantum fluctuations of a scalar field in the "ballpoint pen" cosmic string geometry. Using the approach to renormalization established previously for t…

hep-th2024★ 2 cited

Quantum Energy Density of Cosmic Strings with Nonzero Radius

M. Koike, X. Laquidain, N. Graham

Zero-point fluctuations in the background of a cosmic string provide an opportunity to study the effects of topology in quantum field theory. We use a scattering theory approach to…

hep-th2024★ 3 cited

One-Loop Quantum Stress-Energy Tensor for the Kink and sine-Gordon Solitons

Noah Graham, Herbert Weigel

We compute the renormalized one-loop quantum corrections to the energy density and pressure for solitons in the dimensional scalar sine-Gordon and kin…

hep-th2017★ 2 cited

Quantum stabilization of a hedgehog type of cosmic string

M. Quandt, N. Graham, H. Weigel

Within a slightly simplified version of the electroweak standard model we investigate the stabilization of cosmic strings by fermion quantum fluctuations. Previous studies of quant…

hep-th2016★ 5 cited

Isospin Invariance and the Vacuum Polarization Energy of Cosmic Strings

H. Weigel, M. Quandt, N. Graham

We corroborate the previously applied spectral approach to compute the vacuum polarization energy of string configurations in models similar to the standard model of particle physi…

hep-th2015★ 4 cited

Quantum Stabilization of Cosmic Strings

H. Weigel, M. Quandt, N. Graham

In the standard model, stabilization of a classically unstable cosmic string may occur through the quantum fluctuations of a heavy fermion doublet. We review numerical results from…

hep-th2011★ 2 cited

Cosmic Strings Stabilized by Fermion Fluctuations

H. Weigel, M. Quandt, N. Graham

We provide a thorough exposition of recent results on the quantum stabilization of cosmic strings. Stabilization occurs through the coupling to a heavy fermion doublet in a reduced…

hep-th2010★ 10 cited

Vacuum Energies of Non--Abelian String--Configurations in 3+1 Dimensions

H. Weigel, M. Quandt, N. Graham +1

We develop a method to compute the fermion contribution to the vacuum polarization energy of string--like configurations in a non--abelian gauge theory. This calculation has been h…

hep-th2006★ 84 cited

An Electroweak Oscillon

N. Graham

A recent study demonstrated the existence of oscillons -- extremely long-lived localized configurations that undergo regular oscillations in time -- in spontaneously broken SU(2) g…

hep-th2004★ 27 cited

Quantum QED Flux Tubes in 2+1 and 3+1 Dimensions

N. Graham, V. Khemani, M. Quandt +2

We compute energies and energy densities of static electromagnetic flux tubes in three and four spacetime dimensions. Our calculation uses scattering data from the potential induce…

hep-th2000★ 34 cited

Fractional and Integer Charges from Levinson's Theorem

E. Farhi, N. Graham, R. L. Jaffe +1

We compute fractional and integer fermion quantum numbers of static background field configurations using phase shifts and Levinson's theorem. By extending fermionic scattering the…

hep-th2000★ 49 cited

Heavy Fermion Stabilization of Solitons in 1+1 Dimensions

E. Farhi, N. Graham, R. L. Jaffe +1

We find static solitons stabilized by quantum corrections in a (1+1)-dimensional model with a scalar field chirally coupled to fermions. This model does not support classical solit…

hep-th1999★ 2 cited

Exact Renormalized One-Loop Quantum Corrections to Energies of Solitonic Field Configurations

N. Graham

We develop a method for computing exact one-loop quantum corrections to the energies of static classical backgrounds in renormalizable quantum field theories. We use a continuum de…

hep-th1999★ 25 cited

A Heavy Fermion Can Create a Soliton: A 1+1 Dimensional Example

E. Farhi, N. Graham, R. L. Jaffe +1

We show that quantum effects can stabilize a soliton in a model with no soliton at the classical level. The model has a scalar field chirally coupled to a fermion in 1+1 dimensions…

hep-th1999★ 39 cited

Fermionic One-Loop Corrections to Soliton Energies in 1+1 Dimensions

N. Graham, R. L. Jaffe

We demonstrate an unambiguous and robust method for computing fermionic corrections to the energies of classical background field configurations. We consider the particular case of…

hep-th1998★ 98 cited

Energy, Central Charge, and the BPS Bound for 1+1 Dimensional Supersymmetric Solitons

N. Graham, R. L. Jaffe

We consider one-loop quantum corrections to soliton energies and central charges in the supersymmetric and sine-Gordon models in 1+1 dimensions. In both models, we unambiguou…

hep-th1998★ 48 cited

Unambiguous one-loop quantum energies of 1+1 dimensional bosonic field configurations

N. Graham, R. L. Jaffe

We calculate one-loop quantum energies in a renormalizable self-interacting theory in one spatial dimension by summing the zero-point energies of small oscillations around a classi…