ar X iv : h ep - t h / 03 04 02 1 v 4 8 M ay 2 00 3 Low - Energy - Theorem Approach to one - particle singularity in QED
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چکیده
Yuichi Hoshino Kushiro National College of Technology, Otanoshike nishi 2-32-1,Kushiro, Hokkaido 084,Japan Abstract We evaluate the spectral function of scalar and spinor propagator in three dimensional quantum electrodynamics with the use of Ward-Identity for soft-photon emission vertex.We work well in position space to treat infrared divergences in our model. Exponentiation of one-photon matrix element yields a full propagator in position space.It has asimple form as free propagator multiplied by quantum correction.But this is not an integrable function so that analysis in momentum space is not easy.Term by term integral converges and they have a logarithmic singularity associated with renormalized mass in perturbation theory.Renormalization constant vanishes for weak coupling,which suggests confinement of charged particle.There exsists a critical coupling constant below which bare mass vanishes and the vacuum expectation value of pair condensation is finite.
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ar X iv : h ep - t h / 03 04 02 1 v 1 2 A pr 2 00 3 Low - Energy - Theorem Approach to one - particle singularity in QED 2 + 1 Yuichi Hoshino
Yuichi Hoshino Kushiro National College of Technology, Otanoshike nishi 2-32-1,Kushiro, Hokkaido 084,Japan Abstract We evaluate the spectral function of scalar and spinor propagator in three dimensional quantum electrodynamics with the use of Ward-Identity for soft-photon emission vertex.Exponentation of one-photon matrix element yields a convergent but non-analytic fashion of the spectral func...
متن کاملar X iv : h ep - t h / 03 04 02 1 v 2 1 2 A pr 2 00 3 Low - Energy - Theorem Approach to one - particle singularity in QED
Abstract We evaluate the spectral function of scalar and spinor propagator in three dimensional quantum electrodynamics with the use of Ward-Identity for soft-photon emission vertex.Exponentation of one-photon matrix element yields a full propagator in position space.It has asimple form as free propagator multiplied by quantum correction.But this is not an integrable function so that analysis i...
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ar X iv : h ep - t h / 04 04 05 9 v 8 1 M ay 2 00 4 Mass singularity and confining property in QED
Abstract We discuss the properties of the position space fermion propagator in three dimensional QED which we found previouly based on Ward-Takahashi-identity for soft-photon emission vertex and spectral representation.There is a new type of mass singularity which governs the long distance behaviour.It leads the propagator vanish at large distance.This term corresponds to dynamical mass in posi...
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