45 views

### Good Books on Gauge Theory [duplicate]

Possible Duplicate: Comprehensive book on group theory for physicists? I'm having a hard time trying to get my head around the fundamentals of gauge theory. I've taken classes in QFT and ...
34 views

### Would anyone suggest me usefull web resources on lie groups and lie algebra and a good book to start with? [duplicate]

Would anyone suggest me useful web resources on lie groups and lie algebra and a good book to start with?
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### Lie theory and particle physics [duplicate]

I have recently been reading Intro to Lie algebras and representation theory by Humphreys, and when I am finished I am interested in reading about Lie groups and Lie algebras and their applications to ...
15k views

### Book recommendations [closed]

Every once in a while, we get a question asking for a book or other educational reference on a particular topic at a particular level. This is a meta-question that collects all those links together. ...
841 views

### Simple applications of group theory which can be understood by a senior undergrad

I am looking for references (books or web links) which have "simple" examples on the use of group theory in physics or science in general. I have looked at many books on the subject unfortunately ...
622 views

### How to prove $(\gamma^\mu)^\dagger=\gamma^0\gamma^\mu\gamma^0$?

Studying the basics of spin-$\frac{1}{2}$ QFT, I encountered the gamma matrices. One important property is $(\gamma^5)^\dagger=\gamma^5$, the hermicity of $\gamma^5$. After some searching, I stumbled ...
131 views

### Lie algebra in simple terms [on hold]

My question is regarding a vector space and Lie algebra. Why is it that whenever I read advanced physics texts I always hear about Lie algebra? What does it mean to "endow a vector space with a lie ...
641 views

### Textbook on group theory to be able to start QFT

I am very enthusiastic about learning QFT. How much group theory would I need to master? Please could you recommend me a textbook on group theory, which would help me to start QFT?
1k views

### Abstract Algebra in Relativity and Cosmology?

Is Abstract Algebra useful in theoretical Relativity and/or Cosmology? If so can anyone give me some examples or point me towards a good book with that emphasis if it is one? Thanks in advance.
Srednicki writes: We can make this a little fancier by defining the unitary spacetime translation operator $$T(a) \equiv \exp(-iP^\mu a_\mu/ \hbar)$$ Then we have $$T(a)^{-1} \phi(x) T(a) = ... 1answer 168 views ### Reducibility of tensor products of Lorentz group representations Consider the statement: (34.29 in Srednicki's QFT text)$$\tag{34.29} (2,1)\otimes(1,2)\otimes(2,2)~=~(1,1)\oplus\ldots Where of course, $(a,b)$ label representations of Lorentz group in the usual ...
I am currently reading John S. Townsend's "A Modern Approach to Quantum Mechanics." In section 2.2 he introduces the $\hat J$ operator, which he refers to as "the generator of rotations." He gives the ...