We examine the non-perturbative gauge dependence of arbitrary configuration space fermion correlators in quantum electrodynamics (QED). First, we study dressed electron propagator (allowing for emission or absorption any number photons along a line) using first quantised approach to field theory and analyse its transformation properties induced by virtual photon exchange. This is then extended ...

We present a field theory of Jain’s composite fermion model [1], as generalised to the bilayer quantum Hall systems. We define operators which create composite fermions and write the Hamiltonian exactly in terms of these operators. This is seen to be a complexified version of the familiar Chern Simons theory. In the mean-field approximation, the composite fermions feel a modified effective magn...

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We perform an analysis of the ultraviolet divergences quantum nonprojectable Horava gravity. work field theory directly in Hamiltonian formalism provided by Batalin-Fradkin-Vilkovisky quantization. In this way second-class constraints can be incorporated to A known local gauge-fixing condition leads a canonical Lagrangian. Although fields acquire regular propagators, irregular propagators persi...

One of the possible approaches to construction massive higher spin interactions is use their gauge invariant description based on introduction appropriate set Stueckelberg fields. Recently, general properties such approach were investigated by Boulanger et al (2018 J. High Energy Phys. JHEP07(2018)021). The main findings this work can be formulated in two statements. At first, there always exis...

The article is devoted of detailed analysis the illustrative cycle two Ukrainian artists, followers Boychuk school — Ber Blank (1897–1957) and Moses Fradkin (1904–1974) to famous novel «The Legend Thyl Ulenspiegel Lamme Goedzak» (1867) by Belgian novelist Charles De Coster. Their graphic interpretation both reflection totalitarian contradictions their era challenge its conventions. actual disco...