Light front quantization: Difference between revisions

Revision as of 23:29, 6 January 2019

Revision as of 00:09, 7 January 2019

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Light-front relativistic quantum mechanics is formulated on the direct

sum of tensor products of single-particle Hilbert spaces. The

kinematic representation <math>U_0(\Lambda ,a)</math> of the Poincar\'ePoincaré group on

this space is the direct sum of tensor products of the single-particle

unitary irreducible representations of the Poincar\'ePoincaré group. A

front-form dynamics on this space is defined by a dynamical

representation of the Poincar\'ePoincaré group <math>U(\Lambda ,a)</math> on this space

where <math>U(g) = U_0(g)</math> when <math>g</math> is in the kinematic subgroup of the

Poincare group.

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possible to realize exact rotational covariance for system of a finite

number of degrees of freedom. The way that this is done is to start

with the non-interacting generators of the full Poincar\'ePoincaré group,

which are sums of single-particle generators, construct the kinematic invariant

mass operator, the three kinematic generators of translations tangent