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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Possible research directions for a beginner in TQFT
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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Possible research directions for a beginner in TQFT
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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Possible research directions for a beginner in TQFT
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
- Thread
- Category theory Knot theory Quanfum field theory Research advice
- Replies: 4
- Forum: STEM Academic Advising