Linked Questions

9
votes
4answers
4k views

Textbook on group theory to be able to start QFT [duplicate]

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?
8
votes
2answers
932 views

Symmetry and group theory book [duplicate]

I would like to start learning about symmetries in physics and how they affect physical quantities. As far as I know, the mathematical language that describes symmetries is the Group Theory. So, I ...
-1
votes
1answer
364 views

Textbook on group theory [duplicate]

Can you recommend me a good textbook on group theory? I am interested in particular in tensor representation of a group, e.g. why $ 3 \otimes 3 = 6 \oplus \bar 3$ for $ \rm SU(3) $. Is there any ...
0
votes
1answer
128 views

Where can I learn the rules of representation decompositions? [duplicate]

I want to understand the rules of how to decompose representations of say $SU(N)$ to simpler representations. For example, in $SU(2)$ the representation $\mathbf{2}^{\otimes 2}$ decomposes as $\mathbf{...
1
vote
0answers
190 views

Representation Theory in a Nutshell for Physicists? [duplicate]

Are there good references and introduction of Representation Theory as "Representation Theory in a Nutshell for Physicists"? For example, we hope that the book/ref contains the "introduction to ...
2
votes
0answers
111 views

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 ...
1
vote
0answers
78 views

Books about Group Theory [duplicate]

I was looking for a book to complement the lecture notes of the course for a more intuitive approach to the subject and full of examples (mathematical), because the handouts seem only a bunch of ...
1
vote
0answers
60 views

Reference request: Relation between $Sp(N)$, $Spin(N) $, $SU(N)$ groups and physics [duplicate]

I want to understand the relationship of the so common $SU(N)$ and $SO(N)$ groups in physics with the symplectic group which I think is the double cover of the first and the Spin groups $Spin(N)$. Is ...
2
votes
0answers
47 views

Young diagrams and $\mathrm{SU}(n)$ representations [duplicate]

I'm trying to understand from a systematic point of view how $\mathrm{SU}(n)$ representations may be computed from Young diagrams following Sternberg's Group Theory and Physics. Chapter five gives ...
0
votes
0answers
40 views

Good introductory book about Group Theory? [duplicate]

I am looking for a good introductory book about Group Theory for physicists.
309
votes
1answer
98k 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. ...
24
votes
2answers
8k views

Lie algebra in simple terms [closed]

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 ...
9
votes
4answers
617 views

What does this notation for spin mean? $\mathbf{\frac 1 2}\otimes\mathbf{\frac 1 2}=\mathbf{1}\oplus\mathbf 0$

In my quantum mechanics courses I have come across this notation many times: $$\mathbf{\frac 1 2}\otimes\mathbf{\frac 1 2}=\mathbf{1}\oplus\mathbf 0$$ but I feel like I've never fully understood what ...
16
votes
2answers
8k 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 ...
9
votes
3answers
1k 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 ...

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