activity
19952007
most citedExact Noncommutative KP and KdV Multi-solitons

49 citations · 190 across the 16 of their papers we have counts for

collaborators

16 papers

physics.med-ph2007

The Jacobian as a measure of planar dose congruence

L. D. Paniak, P. M. Charland

We propose a new starting point for comparing dose distributions in therapeutic radiation physics using a Jacobian-based measure. The measure is normalization independent, free of…

hep-th2003★ 19 cited

Lectures on Two-Dimensional Noncommutative Gauge Theory 2: Quantization

L. D. Paniak, R. J. Szabo

These notes comprise the second part of two articles devoted to the construction of exact solutions of noncommutative gauge theory in two spacetime dimensions. Here we shall deal w…

hep-th2003★ 26 cited

Open Wilson Lines and Group Theory of Noncommutative Yang-Mills Theory in Two Dimensions

L. D. Paniak, R. J. Szabo

The correlation functions of open Wilson line operators in two-dimensional Yang-Mills theory on the noncommutative torus are computed exactly. The correlators are expressed in two…

hep-th2003★ 8 cited

Lectures on Two-Dimensional Noncommutative Gauge Theory 1. Classical Aspects

L. D. Paniak, R. J. Szabo

These notes comprise the first of two articles devoted to the construction of exact solutions of noncommutative gauge theory in two spacetime dimensions. This first part deals sole…

hep-th2001★ 49 cited

Exact Noncommutative KP and KdV Multi-solitons

L. D. Paniak

We derive the Kadomtsev-Petviashvili (KP) equation defined over a general associative algebra and construct its N-soliton solution. For the example of the Moyal algebra, we find mu…

hep-th2000★ 31 cited

Matrix Theory Interpretation of DLCQ String Worldsheets

G. Grignani, P. Orland, L. D. Paniak +1

We study the null compactification of type-IIA-string perturbation theory at finite temperature. We prove a theorem about Riemann surfaces establishing that the moduli spaces of in…