Recent content by math-physicist
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Graduate Interpreting the energy density of QFT vacuum states
@A. Neumaier , Thank you for your answer. Your answer to my first two questions makes sense. but in answer to my third question, you said: I think you misinterpreted what I was asking. I meant to ask why does that proportionality imply the energy density relation? I.e., $$ e^{\sum V_i}\propto...- math-physicist
- Post #3
- Forum: Quantum Physics
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Graduate Interpreting the energy density of QFT vacuum states
I am reading Peskin-Schroeder's QFT text, and there on pg. 98 Equation (4.56) they derive the expression for the vacuum energy density (relative to the zero of energy set by ##H_0|0\rangle = 0##): $$ \frac{E_0}{\rm{Volume}} = \frac{i\,\sum\text{(all disconnected pieces)}}{(2\pi)^4\,\delta^4(0)}\...- math-physicist
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- Energy density Peskin schroeder Quantum field theory Quantum vacuum
- Replies: 3
- Forum: Quantum Physics
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TQFT research topics for beginners in higher categories and knot theory
My current academic training has been more focused on the theoretical math side of things. This is mainly because my undergrad institution didn't have a strong theoretical physics program and I wasn't really into the experimental side of things. However, I had taken all the "theory" based...- math-physicist
- Post #5
- Forum: STEM Academic Advising
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TQFT research topics for beginners in higher categories and knot theory
For the moment I'm just an independent research. I said beginning grad just to give an idea of my academic preparation so far. So to answer your question, no, I won't have an advisor. That's one of the big reasons of posting here to see if someone could suggest looking into something.- math-physicist
- Post #4
- Forum: STEM Academic Advising
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TQFT research topics for beginners in higher categories and knot theory
I am highly interested in Topological Quantum Field Theory (TQFT) and am currently planning on doing a project on this topic this year. Some of my relevant background: Algebra (Groups, Rings, Fields, basics of Categories and Modules), Topology (Munkres), Smooth Manifolds (John Lee's book, first...- math-physicist
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- Category theory Knot theory Quanfum field theory Research advice
- Replies: 4
- Forum: STEM Academic Advising