Troubleshooting f(E)q(-E) + f(-E)q(E) - Page 63, 64 equations 7.6, 7.7, 7.8

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The discussion focuses on troubleshooting equations from a physics text, specifically equations 7.6, 7.7, and 7.8. The user attempts to modify the expression f(E)q(-E) + f(-E)q(E) by changing variables but encounters issues with the results. Another participant suggests rearranging the variable substitution to isolate q(E) and subsequently determine q(-E) before substituting back into equation (7.6) for simplification. The response emphasizes that the process should be straightforward for someone studying Quantum Field Theory (QFT). Clarity in variable substitution and simplification is crucial for resolving the problem.
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We have f(E)q(-E) + f(-E)q(E)

now change to x(E)=q(E) + f(E)/ (term)

and get -(f(E)f(-E))/(term)

I plugged the changed variable in, but didn't get the result, any hints how to proceed?

I got that from page 63, 64 equations 7.6, 7.7, 7.8 from this text: http://www.physics.ucsb.edu/~mark/ms-qft-DRAFT.pdf

thank you
 
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?? 7.6, 7.7, and 7.8 are nothing like what you give here! 7.6 involves an integral and "x" is a change of variable in the integral.
 
Just rearrange your variable substitution to isolate q(E), and then determine q(-E), and substitute into equation (7.6) and simplify.

No offense, but this should be pretty straightforward for someone who's studying QFT.
 
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