Linked Questions

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0answers
52 views

Selfstudying math with rigour is useful for a physics undergrad who want be a theoretical physicist (String theory, quantum gravity)? [closed]

When I say "math" I'm referring specifically to Topology, Differential Geometry and Group Theory. I've seen some colleagues studying such mathematical topics only superficially, i.e in group theory, ...
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0answers
64 views

Using intuition to understand physics concepts, how and when to let that need for intuition go? [closed]

Those of us who grew up solving Newtonian mechanics, electrostatics, and calculus of 1-3 variables problems developed good intuition for understanding simple concepts. This helped me condition a ...
5
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1answer
320 views

The Role of Rigor II

The purpose of this question is to supplement an earlier question The Role of Rigor and to ask about the role of mathematical rigor in physics. In order to formulate a question that can be answered, ...
32
votes
3answers
2k views

What is the issue with interactions in QFT?

I've started studying QFT this year and in trying to find a more rigorous approach to the subject I ended up find out lots of people saying that "there is no way known yet to make QFT rigorous when ...
5
votes
2answers
943 views

Is there a way to justify perturbation theory in QFT?

I can accept that some problems do require a perturbation theory approach to be solved. The development of perturbation theory is perfectly rigorous. So at first, even though many people say that no ...
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0answers
159 views

Is mathematical rigour irrelevant in most physics fields? [duplicate]

Are mathematical notions like closed sets, limits of sequences, measures, and function spaces basically irrelevant in the day to day work of a physicist? Naturally, such concepts are the foundations ...
5
votes
1answer
261 views

Set theories used in mathematical physical theories

For most theorems, this is unimportant - a typical problem will have the same solutions in NFU, ZFC or some other theory, since said theories got popular precisely because they give pretty much the ...
12
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2answers
581 views

Are derivations of physical laws less important than the laws themselves? [closed]

The proportionality between the kinetic energy of gas molecules and temperature is a well-known result. This is usually shown by considering a cubical box containing an ideal gas, and postulating that ...
1
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1answer
160 views

Trajectories piecewise smooth?

In my studies of calculus and real analysis I have found the proofs of several theorems, commonly used in physics, such as those concerning the conservativity of fields, for example like If $\...
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1answer
615 views

Delta functional in path integrals

In a few articles dealing with path integral quantization I came across some calculations where apparently identities of the form \begin{equation} \int (\mathcal{D}\Phi)\, \delta(-\partial_0\Phi+j)\,\,...
1
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3answers
379 views

Why does the Copenhagen interpretation assert randomness if this cannot be tested?

Why does the Copenhagen interpretation of QM assert that random events occur if such a claim cannot ever be proven or disproven? A related question: How to tell if QM is really random? Edit On ...
28
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2answers
8k views

Wick rotation in field theory - rigorous justification?

What is the rigorous justification of Wick rotation in QFT? I'm aware that it is very useful when calculating loop integrals and one can very easily justify it there. However, I haven't seen a ...
3
votes
1answer
291 views

Rigorous mathematical formalism of particle physics

Can anyone provide me with a rigorous mathematical definition of the fundamental particles (all fundamental bosons and fermions), reflecting the analogy of action of groups with interaction of ...
3
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0answers
124 views

Is rigorous functional analysis useful for theoretical physics? [duplicate]

I'm an undergraduate physics without much quantum mechanics at all under my belt. I'm studying functional analysis, and I want to know whether or not this will be useful for me in theoretical physics ...
0
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0answers
793 views

QFT as a rigorous mathematical theory [duplicate]

I understood that quantum field theory is essentially based on a problematic mathematical basis. Can someone please explain what is the fundamental problem to formulate QFT as a rigorous mathematical ...

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