All Questions
Tagged with physics quantum-field-theory
15 questions
6
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0
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371
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What is the predictive power of each object in QFT, and how are they related? [closed]
My background is not in physics or mathematical physics, so this question is mostly out of ignorance, and probably easily known to experts.
Basic Setup
You begin with a spacetime $M$. (Minkowski in ...
- 557
1
vote
0
answers
65
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Some details about relationship between central charges and second cohomology group of the Lie algebra
S. Weinberg in his book "The quantum theory of fields" talks about central charge that appear in Lie algebra of a given Lie group. To be more precise, on page 83 in the book, he computes the ...
- 287
2
votes
1
answer
164
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Vacuum state generating functional
In Theorem 1 of this paper Segal stablish a relation between states and generating functionals.
He assert that in order to $\mu$ be a generating functional must satisfy
$$
\sum_{j,k\in F} \mu (z_j-...
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11
votes
1
answer
1k
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State of rigorous effective quantum field theories
It's well-known that there are no rigorously constructed and physically relevant QFTs. There is, however, a lot of mathematical work on effective field theories and renormalization, such as the books ...
- 279
3
votes
1
answer
512
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Wave front set of vector-valued Dirac delta distribution
Context: I am reading a physics paper Local Wick Polynomials and Time Ordered Products of Quantum Fields in Curved Spacetime which applies the notion of the wave front set to operator-valued ...
- 193
5
votes
0
answers
274
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$S$-matrix in QED in 2d space-time
I am not completely sure that this question is appropriate for this site, but I have asked a similar question here https://physics.stackexchange.com/questions/271372/s-matrix-in-qed-in-2d-space-time ...
- 21.8k
3
votes
1
answer
2k
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Boundary conditions for Klein-Gordon equation
Let us consider the Klein-Gordon equation
$$(\Box +m^2)u=0,$$
where $u$ is a scalar valued function, $m\geq 0$, $\Box=\frac{\partial^2}{\partial x_0^2}-\sum_{i=1}^d\frac{\partial^2}{\partial x_i^2}$.
...
- 21.8k
5
votes
2
answers
4k
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Two point function of a free scalar field in Euclidean space-time
This question was previously asked here
https://physics.stackexchange.com/questions/251927/two-point-function-of-a-free-massless-scalar-field-in-euclidean-space-time
though I did not get there an ...
- 21.8k
10
votes
1
answer
1k
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Mathematics of Chiral Rings
Let $A$ be a graded vector space, and suppose that two commuting differentials $d_1$ and $d_2$ of degree +1 act on $A$, such that $A$ equipped with either is a chain complex.
We now construct $C(A)$, ...
- 2,273
2
votes
1
answer
712
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Generating Functional for the Dirac Field, equivalence of expressions
As with the Klein-Gordon field, we can alternatively derive the Feynman rules with the free Dirac theory by means of a generating functional. In analogy with the scalar field theory where $Z[J]$ is ...
user78817
4
votes
1
answer
185
views
reference for higher spin - not gravitational nor stringy
Other than the papers of Berends, Burgers and van Dam, are there any papers that study the general case of deforming a free field theory with higher spin fields to be interactive?
- 3,880
9
votes
2
answers
1k
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What is the BRST-anti-BRST formalism?
What is the BRST-anti-BRST formalism?
Is the Sp(2) doublet the ghost, antighost pair?
Introductory accounts of this subject seem to be hard to find. I would appreciate a reference for someone who ...
- 3,880
2
votes
1
answer
2k
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What is the "fundamental theorem of invariant theory" ?
The basic question I guess can be formulated as - given two integers $N_f$ and $N_c$ what are the ways in which the fundamental and the anti-fundamental representations of $U(N_f)$ be combined to get ...
- 21
11
votes
4
answers
2k
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Literature for gauge field theory on the lattice in geometrical formulation
I have found an article by Huebschmann, Rudolph and Schmidt about "A Gauge Model for Quantum Mechanics on a Stratified Space" and I am very interested in this subject, but I don't have any ...
54
votes
6
answers
13k
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Mathematical explanation of the failure to quantize gravity naively
One often hears in popular explanations of the failure to find a "Grand Unified Theory" that "Gravity goes off to infinity, but cutting off the edges gives us wrong answers", and other similar ...