arXiv subjects

J. Papavassiliou

Publications and source records attributed to J. Papavassiliou.

114 records · Page 7Linked to original sources

arXiv1999

Gauge Coupling Instability and Dynamical Mass Generation in N=1 Supersymmetric QED(3)

Using superfield Dyson-Schwinger equations, we compute the infrared dynamics of the semi-amputated full vertex, corresponding to the effective running gauge coupling, in N-flavour {\mathcal N}=1 supersymmetric QED(3). It is shown that the presence of a supersymmetry-preserving mass for the matter multiplet stabilizes the infrared gauge coupling against oscillations present in the massless case, and we therefore infer that the massive vacuum is thus selected at the level of the (quantum) effective action. We further demonstrate that such a mass can indeed be generated dynamically in a self-consistent way by appealing to the superfield Dyson-Schwinger gap equation for the full matter propagator.

hep-th↗

arXiv1999

Non-linear Dynamics in QED_3 and Non-trivial Infrared Structure

In this work we consider a coupled system of Schwinger-Dyson equations for self-energy and vertex functions in QED_3. Using the concept of a semi-amputated vertex function, we manage to decouple the vertex equation and transform it in the infrared into a non-linear differential equation of Emden-Fowler type. Its solution suggests the following picture: in the absence of infrared cut-offs there is only a trivial infrared fixed-point structure in the theory. However, the presence of masses, for either fermions or photons, changes the situation drastically, leading to a mass-dependent non-trivial infrared fixed point. In this picture a dynamical mass for the fermions is found to be generated consistently. The non-linearity of the equations gives rise to highly non-trivial constraints among the mass and effective (`running') gauge coupling, which impose lower and upper bounds on the latter for dynamical mass generation to occur. Possible implications of this to the theory of high-temperature superconductivity are briefly discussed.

hep-th↗

arXiv1999

The Massive Yang-Mills Model and Diffractive Scattering

We argue that the massive Yang-Mills model of Kunimasa and Goto, Slavnov, and Cornwall, in which massive gauge vector bosons are introduced in a gauge-invariant way without resorting to the Higgs mechanism, may be useful for studying diffractive scattering of strongly interacting particles. We perform in this model explicit calculations of S-matrix elements between quark states, at tree level, one loop, and two loops, and discuss issues of renormalisability and unitarity. In particular, it is shown that the S-matrix element for quark scattering is renormalisable at one-loop order and is only logarithmically non-renormalisable at two loops. The discrepancies in the ultraviolet regime between the one-loop predictions of this model and those of massless QCD are discussed in detail. Also, some of the similarities and differences between the massive Yang-Mills model and theories with a Higgs mechanism are analysed at the level of the S-matrix. Finally, we briefly discuss the high-energy behaviour of the leading-order amplitude for quark-quark elastic scattering in the diffractive region. The above analysis sets up the stage for carrying out a systematic computation of the higher order corrections to the two-gluon exchange model of the Pomeron using massive gluons inside quantum loops.

hep-ph↗

arXiv1997

Electroweak Effective Charges and their relation to Physical Cross Sections

In quantum electrodynamics with fermions f = e,μ..., knowledge of the vacuum polarization spectral function determined from the tree level e^+e^- -> f^+f^- cross sections, together with a single low energy measurement of the fine structure constant α, enables the construction of the one-loop effective charge α_eff(q^2) for all q^2. It is shown how an identical procedure can be followed in the electroweak sector of the Standard Model to construct three gauge-, scale- and scheme-independent one-loop electroweak effective charges and an effective weak mixing angle from the tree level e^+e^- -> W^+W^-, ZH and e^+ν_e -> W^+Z, W^+γ, W^+H differential cross sections, together with three low energy measurements, which may be chosen to be αand the masses of the W and Z bosons. It is found that the corresponding proper self-energy-like functions thus constructed are identical to those obtained in the pinch technique framework. In this way, it is shown how the concept of effective charges in the electroweak Standard Model is as well-defined and unique as in quantum electrodynamics.

hep-ph↗

arXiv1995

Gauge Invariant three Boson Vertices and their Ward Identities in the Standard Model

In the context of the Standard Model we extend the S--matrix pinch technique for non--conserved currents to the case of three boson vertices. We outline in detail how effective gauge invariant three boson vertices can be constructed, with all three incoming momenta {\it off--shell}. Explicit closed expressions for the vertices $γW^- W^+$, $Z W^- W^+$, and $χW^- W^+$ are reported. The three boson vertices so constructed satisfy naive QED--like Ward identities which relate them to the gauge invariant gauge boson self--energies previously constructed by the same method. The derivation of the aforementioned Ward identities relies on the sole requirement of complete gauge invariance of the S--matrix element considered; in particular, no knowledge of the explicit closed form of the three boson vertices involved is necessary.The validity of one of these Ward identities is demonstrated explicitly, through a detailed diagrammatic one-loop analysis, in the context of three different gauges.

hep-ph↗

arXiv1993

Gauge invariant top quark form factors from e+ e- experiments

Motivated by the possibility of experimental determination of top quark form factors in upcoming e+ e- experiments, as recently discussed by Atwood and Soni, we show at the one loop level that the conventionally defined magnetic dipole moment (MDM) form factor of the top quark is gauge dependent, in the class of renormalizable ($R_ξ$) gauges. We explicitly calculate its gauge dependence, which, due to the massiveness of the top quark, turns out to be numerically very sizable. We show how to use the S-matrix pinch technique in order to define gauge independent form factors. The real and imaginary parts of the gauge independent MDM form factor are calculated and their dependence on the top quark and Higgs boson masses is discussed. Most noticeably, the dependence on the Higgs mass turns out to be stronger than that of the cross section as a whole.

hep-ph↗