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Applies to questions of primarily educational value - not only questions that arise from actual homework assignments, but any question where it is preferable to guide the asker to the answer rather than giving it away outright. Please READ THE GUIDANCE IN META before asking homework-like questions.

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Functional variation problem in Classical Field Theory (Non Relativistic) [closed]

An exercise of my Homework sheet make a statement about rotational variation on a scalar field $\phi(x)$:\ "Consider a scalar field $\phi(x,t)$ in a lagrangian $\mathcal{L}(\phi, \partial_t \phi, \nab …
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0 votes
2 answers
169 views

Maximum proper time in Minkowski Spacetime for free particles

Consider two events $\mathcal{A}$ and $\mathcal{B}$ corresponding to the beggining and the ending of trajectories of two massive particles, respectively. The particle named $\mathcal{P1}$ is in free m …
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1 vote
0 answers
97 views

Normal ordered product of $4$ scalar fields $X^\mu$

I'm trying to get more familiarity with the conformal normal ordering used in Polchinski's String Theory vol. 1 and I'm currently trying to solve problem $2.2$ which asks to prove that the normal orde …
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4 votes
0 answers
174 views

Trying to derive Polchinski's equation $(2.2.11)$

I'm having trouble to derive Polchinski's equation $(2.2.11)$ which is an example of product of normal ordered product of $\partial X^\mu$. Precisely, Polchinski defines the product of normal ordered …
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3 votes
4 answers
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Problem with Klein-Gordon equation derivation

In Notes for a course on Classical Fields by R. ALdrovandi, one the the exercises in page 94 is to derive the klein Gordon equation $(\Box + m²)\phi = 0$ from the following lagrangian density \begin{ …
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