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Related papers: $k^+=0$ Modes in Light-Cone Quantization

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The scattering of charged solitons in the complex sine-Gordon field theory is investigated. An exact factorizable S-matrix for the theory is proposed when the renormalized coupling constant takes the values $\lambda^{2}_{R}=4\pi/k$ for any…

High Energy Physics - Theory · Physics 2010-11-01 Nicholas Dorey , Timothy J. Hollwood

We investigated quantized modes of kinks in the phase space of superconducting gaps in a superconductor with multiple gaps. The kink is described by the sine-Gordon model in a two-gap superconductor and by the double sine-Gordon model in a…

Superconductivity · Physics 2018-11-06 Takashi Yanagisawa , Izumi Hase , Yasumoto Tanaka

A Lorentz and gauge symmetry preserving regularization method is discussed in four dimension based on momentum cutoff. We use the conditions of gauge invariance or equivalently the freedom of shift of the loop momentum to define the…

High Energy Physics - Phenomenology · Physics 2015-09-25 G. Cynolter , E. Lendvai

It is shown that the one-loop two-point amplitude in {\it Lorentz-invariant} non-commutative (NC) $\phi^3$ theory is finite after subtraction in the commutative limit and satisfies the usual cutting rule, thereby eliminating the unitarity…

High Energy Physics - Theory · Physics 2009-11-10 Katsusada Morita , Yoshitaka Okumura , Eizou Umezawa

We propose a mechanism for the inverse Faraday and the inverse Cotton--Mouton effects arising from quantum geometry, characterized by the quantum metric quadrupole and the weighted quantum metric. Within a semiclassical framework based on…

Materials Science · Physics 2026-01-15 Hiroki Yoshida , Takehito Yokoyama

While it has often been proposed that, fundamentally, Lorentz-invariance is not respected in a quantum theory of gravity, it has been difficult to reconcile deviations from Lorentz-invariance with quantum field theory. The most commonly…

General Relativity and Quantum Cosmology · Physics 2012-10-02 Sabine Hossenfelder

In this paper the quantization of the 2$+$1-dimensional gravity couplet to the massless Dirac field is carried out. The problem is solved by the application of the new Dynamic Quantization Method [1,2]. It is well-known that in general…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. N. Vergeles

For the problem of calculating bound states in quantum field theory, the light-cone representation offers advantages over the more common equal-time representation. It also has subtleties and disadvantages compared to the equal-time…

High Energy Physics - Theory · Physics 2017-08-23 Gary McCartor

In spite of its problems with interactions, the first-quantized Klein-Gordon equation is a satisfactory theory of free spinless particles. Moreover, the usual theory may be extended to describe Lorentz-violating behavior, of the same types…

High Energy Physics - Theory · Physics 2023-07-26 Brett Altschul

The techniques of Pauli-Villars regularization and discrete light-cone quantization are combined to analyze Yukawa theory in a single-fermion truncation. A special form of the Lanczos algorithm is constructed for diagonalization of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. R. Hiller

The hypothesis that the Lorentz transformations may be modified at Planck scale energies is further explored. We present a general formalism for theories which preserve the relativity of inertial frames with a non-linear action of the…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Joao Magueijo , Lee Smolin

$M$-theory is believed to be described in various dimensions by large $N$ field theories. It has been further conjectured that at finite $N$, these theories describe the discrete light cone quantization (DLCQ) of $M$ theory. Even at low…

High Energy Physics - Theory · Physics 2009-10-31 Michael Dine , Robert Echols , Joshua P. Gray

In order to avoid the difficulties encountered by relativistic quantum theory of single particles, we pursue a deductive development of the theory from physical principles, without canonical quantization, by making use of group-theoretical…

Quantum Physics · Physics 2019-05-22 Giuseppe Nisticò

We demonstrate how to construct a lorentz-invariant, hidden-variable interpretation of relativistic quantum mechanics based on particle trajectories. The covariant theory that we propose employs a multi-time formalism and a…

Quantum Physics · Physics 2009-11-07 George Horton , Chris Dewdney

We consider the deformation of the Poincar\'e group in 2+1 dimensions into the quantum double of the Lorentz group and construct Lorentz-covariant momentum-space formulations of the irreducible representations describing massive particles…

High Energy Physics - Theory · Physics 2014-05-21 Bernd J. Schroers , Matthias Wilhelm

We investigate a quantum Heisenberg model with both antiferromagnetic and disordered nearest-neighbor couplings. We use an extended dynamical mean-field approach, which reduces the lattice problem to a self-consistent local impurity problem…

Disordered Systems and Neural Networks · Physics 2009-11-13 S. Burdin , D. R. Grempel , M. Grilli

In a full solution for a scalar quantum field coupled to an accelerating isotropic universe, all constituent non-autonomous modes of elementary excitation cease to oscillate and become unstable at a discrete sequence of times. After…

General Relativity and Quantum Cosmology · Physics 2019-08-13 Philip Broadbridge , Kathryn Deutscher

If Einstein's equations are to describe a field theory of gravity in Minkowski spacetime, then causality requires that the effective curved metric must respect the flat background metric's null cone. The kinematical problem is solved using…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. Brian Pitts , W. C. Schieve

A perturbative renormalization group is formulated for the study of Hamiltonian light-front field theory near a critical Gaussian fixed point. The only light-front renormalization group transformations found that can be approximated by…

High Energy Physics - Theory · Physics 2009-10-28 Robert J. Perry

We study the Klein-Gordon equation in one spatial and one temporal dimension. Physically, this equation describes the wave function of a relativistic spinless boson with positive rest mass. Mathematically, this is the most elementary…

Analysis of PDEs · Mathematics 2026-03-26 Haakan Hedenmalm
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