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These lecture notes review the foundations and some applications of light-cone quantization. First I explain how to choose a time in special relativity. Inclusion of Poincare invariance naturally leads to Dirac's forms of relativistic…

High Energy Physics - Theory · Physics 2007-05-23 T. Heinzl

We study the fermionic sector of the Myers and Pospelov theory with a general background $n$. The spacelike case without temporal component is well defined and no new ingredients came about, apart from the explicit Lorentz invariance…

High Energy Physics - Theory · Physics 2012-09-26 Justo Lopez-Sarrion , Carlos M. Reyes

A genuine continuum treatment of the massive \phi^4_{1+1}-theory in light-cone quantization is proposed. Fields are treated as operator valued distributions thereby leading to a mathematically well defined handling of ultraviolet and light…

High Energy Physics - Theory · Physics 2009-10-30 Pierre Grangé , Peter Ullrich , Ernst Werner

This paper describes a light-cone quantization of a two-dimensional massive scalar field without periodic boundary conditions in order to make the quantization manifestly consistent to causality. For this purpose, the field is decomposed by…

High Energy Physics - Theory · Physics 2007-05-23 Masahiro Maeno

In this brief report, the microcausility of quantum field theory on spin-induced noncom- mutative spacetime is discussed. It is found that for spacelike seperation the microcausality is not obeyed by the theory generally. It means that…

High Energy Physics - Theory · Physics 2016-10-05 Jia-Hui Huang , Weijian Wang

Certain approaches to quantum gravity, such as the one based on the concept of purely virtual particles (fakeons), sacrifice the cause-effect relation at very small scales to reconcile renormalizability with unitarity. Other developments…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Damiano Anselmi

The idea that dark matter in the form of small compact bodies (most plausibly planetary mass primordial black holes) betrays its presence by the microlensing of quasars, has been stimulated by statistical studies of quasar light curves and…

Astrophysics · Physics 2007-05-23 M. R. S. Hawkins

Contrary to what is often stated, a fundamental spacetime discreteness need not contradict Lorentz invariance. A causal set's discreteness is in fact locally Lorentz invariant, and we recall the reasons why. For illustration, we introduce a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Fay Dowker , Joe Henson , Rafael D. Sorkin

The light-front quantization of gauge theories such as QCD in light-cone gauge provides a frame-independent wavefunction representation of relativistic bound states, simple forms for current matrix elements, explicit unitarity, and a…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky

A natural calculus for describing the bound-state structure of relativistic composite systems in quantum field theory is the light-front Fock expansion which encodes the properties of a hadrons in terms of a set of frame-independent…

High Energy Physics - Phenomenology · Physics 2009-09-11 Stanley J. Brodsky

It is argued that the definition of the twist-3 transverse momentum dependent correlation functions must be modified if they contain light-like Wilson lines. In the framework of a simple spectator model of the nucleon we show explicitly the…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. P. Gamberg , D. S. Hwang , A. Metz , M. Schlegel

It has been known for a long time that vacuum polarization in QED leads to a superluminal low-frequency phase velocity for light propagating in curved spacetime. Assuming the validity of the Kramers-Kronig dispersion relation, this would…

High Energy Physics - Theory · Physics 2008-11-26 Timothy J. Hollowood , Graham M. Shore

Diffuse intensities in the electron diffraction patterns of concentrated face-centered cubic solid solutions have been widely attributed to chemical short-range order, although this connection has been recently questioned. This article…

Materials Science · Physics 2023-11-20 Flynn Walsh , Mingwei Zhang , Robert O. Ritchie , Mark Asta , Andrew M. Minor

The light-front quantization of QCD provides an alternative to lattice gauge theory for computing the mass spectrum, scattering amplitudes, and other physical properties of hadrons directly in Minkowski space. Nonperturbative light-front…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. J. Brodsky

We demonstrate the violation of kT-factorization for quark production in high energy hadronic collisions. This violation is quantified in the Color Glass Condensate framework and studied as a function of the quark mass, the quark transverse…

High Energy Physics - Phenomenology · Physics 2010-11-30 Hirotsugu Fujii , Francois Gelis , Raju Venugopalan

In this lecture note we demonstrated the capability of the local distribution approach to the problem of quantum percolation.

Strongly Correlated Electrons · Physics 2009-05-18 Gerald Schubert , Holger Fehske

We present new results on the causality violations introduced by the rotating wave approximation commonly used in quantum optics and high-energy physics. We find that the causality violations and faster-than-light signalling induced by the…

Quantum Physics · Physics 2019-10-02 Nicholas Funai , Eduardo Martin-Martinez

The Dirac procedure for dealing with constraints is applied to the quantization of gauge theories on the light front. The light cone gauge is used in conjunction with the first class constraints that arise and the resulting Dirac brackets…

High Energy Physics - Theory · Physics 2016-05-25 D. G. C. McKeon , Chenguang Zhao

Light-cone quantization of (3+1)-dimensional electrodynamics is discussed, using discretization as an infrared regulator and paying careful attention to the interplay between gauge choice and boundary conditions. In the zero longitudinal…

High Energy Physics - Theory · Physics 2007-05-23 David G. Robertson

This work applies a Rayleigh-Brillouin light spectrum analysis in order to establish a causality test by means of a frequency cone. This technique allows to identify forbidden and unforbidden regions in light scattering experiments and…

General Relativity and Quantum Cosmology · Physics 2015-05-20 D. Brun-Battistini , A. Sandoval-Villalbazo