Timeline for Understanding the equations of motion for the Polyakov action in string theory
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Jan 20, 2023 at 15:26 | vote | accept | AccidentalTaylorExpansion | ||
| Mar 7, 2020 at 6:44 | history | edited | Qmechanic♦ |
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| Mar 7, 2020 at 5:34 | answer | added | Futurologist | timeline score: 2 | |
| Mar 2, 2020 at 12:51 | comment | added | Wakabaloola | the best references that i know of regarding classical string evolution are cosmic string references (see, e.g., Hindmarsh and Kibble 1995, Sec.3: inspirehep.net/record/380099?ln=en). (R is a constant that can be scaled away by redefining x.) There is also discussion of temporal gauge there that you have implicitly assumed above. | |
| Mar 1, 2020 at 16:30 | comment | added | user21299 | maybe later... i'll see if i can find a publicly available reference for Dirac's formalism and the string + check that $R^2$ constraint | |
| Mar 1, 2020 at 16:25 | comment | added | AccidentalTaylorExpansion | @alexarvanitakis This answers my question! If you post this as answer I'd gladly accept it as an answer. | |
| Mar 1, 2020 at 16:22 | comment | added | AccidentalTaylorExpansion | @alexarvanitakis The $R^2$ term is a constant term. In the special case that $\dot{\vec x}=0$ it is related to the length of the string by $L=2\pi R$. These equations are covered more in depth in Tong's notes. | |
| Mar 1, 2020 at 16:17 | comment | added | user21299 | I am puzzled at the $R^2$ in your (3) though. | |
| Mar 1, 2020 at 16:16 | comment | added | user21299 | Yes, and yes. This question is really about gauge theory in general. It's clearer to see what happens in the context of Dirac's constrained hamiltonian dynamics: your initial conditions must obey the constraints (as you say), and then gauge symmetry ensures that the constraints will be obeyed under time evolution. | |
| Mar 1, 2020 at 15:08 | history | asked | AccidentalTaylorExpansion | CC BY-SA 4.0 |