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Results tagged with physics
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user 2622
For questions about mathematical problems arising from physics, the natural science studying general properties of matter, radiation and energy.
16
votes
Mathematical explanation of the failure to quantize gravity naively
This problem has not yet been resolved at the level of theoretical physics.
What role do Euclidean functional/path integrals play?
The answer to this question is that it is unclear. … Again, this question has not yet been resolved even at the level of theoretical physics. …
- 21.5k
11
votes
Why the least action principle is always (?) used in this particular form?
In the form (1), if you compute the variation $\delta S / \delta x(t) = E(t)$, you find that $E(t) = E(x(t),\dot{x}(t), \ddot{x}(t) ,t)$ is a local/differential expression (the value of $E(t)$ does no …
- 21.5k
11
votes
How can simple physical "proofs" of mathematical facts be made rigorous?
The goal of physics, of course, is to build mathematical models of $W$, so that we don't have to consult the oracle every time we need an to know the value of $W(G,Z)$. … Still, observation of the answers that we get from $W$ allows us to identify certain regularities in its output: these are the laws of physics. …
- 21.5k
8
votes
Accepted
State of rigorous effective quantum field theories
The causal approach., Texts and Monographs in Physics. Berlin: Springer-Verlag. x, 409 p. (1995). ZBL0844.53052. … Steinmann, Othmar, Perturbative quantum electrodynamics and axiomatic field theory, Texts and Monographs in Physics. Berlin: Springer. ix, 355 p. (2000). ZBL0946.81079. …
- 21.5k
7
votes
Two point function of a free scalar field in Euclidean space-time
Your argument starts with the assumption that there is such a thing as a "Euclidean free scalar field", as an operator valued function or distribution. And this is where it goes wrong.
Obviously, you …
- 21.5k
7
votes
Higgs mechanism from a deformation quantization point of view
The Standard Model of particle physics (which includes the Higgs as one of its matter fields, and hence constitutes a description of Higgs particle and its interactions with other elementary particles) …
- 21.5k
5
votes
What is the BRST-anti-BRST formalism?
Communications in Mathematical Physics 157 (1993), no. 2, 279--303. http://projecteuclid.org/euclid.cmp/1104253940. …
- 21.5k
5
votes
Accepted
Wave front set of vector-valued Dirac delta distribution
(1) A careful reading of the paper will reveal that the notation $\delta(x_1,\ldots,x_n)$ is precisely the $\delta$-distribution supported on the diagonal of the $n$-fold Cartesian product $M \times \ …
- 21.5k
5
votes
What do correlation functions compute in CFT?
If you are happy with the interpretation you give at the bottom of your question for the correlation function $G_2(x,y)=\langle0|\phi(x)\phi(y)|0\rangle$ for a quantum field on Minkowski space, then i …
- 21.5k
5
votes
Classification of Lagrangians with given Euler-Lagrange equations
In a sense, all the Lagrangians giving the same Euler-Lagrange equations are exhausted by transformations of your type (b), which adds a total derivative/total divergence/boundary term/... Transforma …
- 21.5k
5
votes
Accepted
Applications of maximal surfaces in Lorentz spaces
Maybe you already encountered such maximal surfaces in the context of General Relativity. Still, the one application of spacelike maximal surfaces that I am aware of is as special kinds of initial dat …
- 21.5k
4
votes
Reference for mathematical Palatini formalism of general relativity
There is a quite detailed pedagogical presentation of both the Einstein-Hilbert and the Palatini variational principles for the Einstein equations in §III.3 Lagrangians for General Relativity of
Baez …
- 21.5k