Mathematica in Quantum Field Theory (II)

*To*: mathgroup at smc.vnet.net*Subject*: [mg7557] Mathematica in Quantum Field Theory (II)*From*: umino at sbhep.physics.sunysb.edu*Date*: Fri, 13 Jun 1997 19:38:10 -0400 (EDT)*Organization*: High Energy Physics, SUNY at Stony Brook*Sender*: owner-wri-mathgroup at wolfram.com

How do you tell Mathmatica to do the following integral involving delta functions? (I have to write the integral in LaTeX form) \int d^4p_1 d^4p_2 d^4p_3 d^4p_4 d^4p_5 \delta^4(k_1 - p_1 - p_2 - p_3) \delta^4(k_2 - p_4 - p_5) \delta^3( \vec{p_4} + \vec{p_3} ) \delta(p_1^0 - x_1) \delta(p_2^0 - x_2) \delta(p_3^0 + x_3) \delta(p_4^0 - x_4) \delta(p_5^0 - x_5) f(p_1^\mu,p_2^\mu,p_3^\mu,p_4^\mu,p_5^\mu) This integral is a product involving five one dimmensional, one three dimensional and two four dimensional delta functions and p_1^\mu = (p_1^0,\vec{p_1}), etc. It is trivial to do this by hand. The problem is that this is just one term in a series containing several thousand terms with different functional dependencies on the delta functions. For example, another term might have a four dimensional integral that looks like \delta^4(k_1 - p_1 - p_4 - p_5) \delta^4(k_2 - p_2 - p_3) I would like to evaluate the entire series simultaneously. Thanks, Mathematica challenged