3 v 1 3 0 D ec 1 99 9 A Heavy Fermion Can Create a Soliton : A 1 + 1 Dimensional Example
نویسنده
چکیده
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. We use a formalism that allows us to calculate the exact one loop fermion contribution to the effective energy for a spatially varying scalar background. This energy includes the contribution from counterterms fixed in the perturbative sector of the theory. The resulting energy is therefore finite and unambiguous. A variational search then yields a fermion number one configuration whose energy is below that of a single free fermion.
منابع مشابه
0 A Heavy Fermion Can Create a Soliton : A 1 + 1 Dimensional Example
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. We use a formalism that allows us to calculate the exact one loop fermion contribution to the effective energy for a spatially varying scalar background. This energy includes the contribution from counterterms fixed...
متن کاملA Heavy Fermion Can Create a Soliton : A 1 + 1 Dimensional Example
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. We use a formalism that allows us to calculate the exact one loop fermion contribution to the effective energy for a spatially varying scalar background. This energy includes the contribution from counterterms fixed...
متن کاملua nt - p h / 99 10 00 9 v 1 3 O ct 1 99 9 Bäcklund - type superposition and free particle n - susy partners
The higher order susy partners of Schrödinger Hamiltonians can be explicitly constructed by iterating a nonlinear difference algorithm coinciding with the Bäcklund superposition principle used in soliton theory. As an example, it is applied in the construction of new higher order susy partners of the free particle potential, which can be used as a handy tool in soliton theory. Recent studies co...
متن کاملar X iv : h ep - t h / 01 12 21 7 v 1 2 1 D ec 2 00 1 Searching for Quantum Solitons in a 3 + 1 Dimensional Chiral Yukawa Model
We search for static solitons stabilized by heavy fermions in a 3+1 dimensional Yukawa model. We compute the renormalized energy functional, including the exact one-loop quantum corrections, and perform a variational search for configurations that minimize the energy for a fixed fermion number. We compute the quantum corrections using a phase shift parameterization, in which we renormalize by i...
متن کاملar X iv : h ep - t h / 03 03 15 9 v 1 1 8 M ar 2 00 3 Heavy Fermion Quantum Effects in SU ( 2 ) L Gauge Theory
We explore the effects of a heavy fermion doublet in a simplified version of the standard electroweak theory. We integrate out the doublet and compute the exact effective energy functional of spatially varying gauge and Higgs fields. We perform a variational search for a local minimum of the effective energy and do not find evidence for a soliton carrying the quantum numbers of the decoupled fe...
متن کامل