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Discretization of action in path integral
I am reading Peskin and Schroeder (path integrals) and it states that discretising the classical action gives:
$$S~=~\int \left(\frac{m}{2}\dot{x}^{2}-V(x)\right)
dt ~\rightarrow~ \sum ...
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Solving the path integral for $(ax)^4-(bx)^2$ potential
I need help in solving the path integral of potential given by the form
$(ax)^4-(bx)^2$
This potential is maybe known as Ginzberg Landau potential
I tried using the approximation in which the ...
0
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0answers
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path integrals: how/why can the phase be identified with the action?
In Peskin & Schroeder, chapter 9 introduces the functional methods.
The idea, to recall, is simply to sum over all the possible paths:
$U(x_a,x_b;T) = \sum_{\text{all paths}} e^{i . ...