15 citations · 63 across the 9 of their papers we have counts for
7 papers · 1 filter
Critical properties of -theory in Light-Cone Quantization
Stéphane Salmons, Pierre GrangÉ, Ernst Werner
The dynamics of the phase transition of the continuum -theory in Light Cone Quantization is reexamined taking into account fluctuations of the order parameter i…
Dynamical Zero Modes and Criticality in Continuous Light Cone Quantization of Phi^{4}_{1+1}
P. Grange, S. Salmons, E. Werner
Critical behaviour of the 2D scalar field theory in the LC framework is reviewed. The notion of dynamical zero modes is introduced and shown to lead to a non trivial covariant disp…
Extended Complex Trigonometry in Relation to Integrable 2D-Quantum Field Theories and Duality
P. Baseilhac, S. Galice, P. Grangé +1
Multicomplex numbers of order n have an associated trigonometry (multisine functions with (n-1) parameters) leading to a natural extension of the sine-Gordon model. The parameters…
Dynamics on the Light Cone : Compact versus Continuum Quantization
S. Salmons, P. Grange, E. Werner
Compact canonical quantization on the light cone (DLCQ) is examined in the limit of infinite periodicity lenth L. Pauli Jordan commutators are found to approach continuum expressio…
Extension of sine-Gordon field theory from generalized Clifford algebras
P. Baseilhac, P. Grangé, M. Rausch de Traubenberg
Linearization of homogeneous polynomials of degree n and k variables leads to generalized Clifford algebras. Multicomplex numbers are then introduced in analogy to complex numbers…
The Continuum Version of ϕ^4_{1+1}-theory in Light-Front Quantization
Pierre Grangé, Peter Ullrich, Ernst Werner
A genuine continuum treatment of the massive ϕ^4_{1+1}-theory in light-cone quantization is proposed. Fields are treated as operator valued distributions thereby leading to a mathe…
Broken phase of the O(N) ϕ^4 model in light cone quantization and 1/N expansion
A. Borderies, P. Grangé, E. Werner
The solution of the O scalar field theory in the broken phase is given in the framework of light cone quantization and a 1/N expansion. It involves the successive building…