Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-07-20
Phys.Rev. D59 (1999) 025005
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, 3 figures, LaTex, psfig, references added, APS copyright
Scientific paper
10.1103/PhysRevD.59.025005
We recall the special features of quantum dynamics on a light-front (in an infinite momentum frame) in string and field theory. The reason this approach is more effective for string than for fields is stressed: the light-front dynamics for string is that of a true Newtonian many particle system, since a string bit has a fixed Newtonian mass. In contrast, each particle of a field theory has a variable Newtonian mass P^+, so the Newtonian analogy actually requires an infinite number of species of elementary Newtonian particles. This complication substantially weakens the value of the Newtonian analogy in applying light-front dynamics to nonperturbative problems. Motivated by the fact that conventional field theories can be obtained as infinite tension limits of string theories, we propose a way to recast field theory as a standard Newtonian system. We devise and analyze some simple quantum mechanical systems that display the essence of the proposal, and we discuss prospects for applying these ideas to large N_c QCD.
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