Recent content by illuminates

1. I Pseudotensors in different dimensions

When I created themes I thought that it will be different topics. I wish to emerge themes but I cannot do it. I left the message in that thread because I thought that Paul Colby will be interested in this thread too but I apparently understand you not right... I'm sorry! I thought that you said...

3. I Pseudotensors in different dimensions

May you explain way Paul Colby in theme https://www.physicsforums.com/threads/vectors-in-minkowski-space-and-parity.937349/ said me that
4. I Pseudotensors in different dimensions

May you explain why happens such things. I thought that ##V^μ \rightarrow V^μ## if ##V^μ## is a 4-vector and ##W^μ \rightarrow -W^μ## if ##W^μ## pseudo-4-vector I caught your statement about pseudo-tensors have to change their sign in odd dimension, but you nothing said about how it is...
5. I Pseudotensors in different dimensions

Are you state that tensor Levi-Civita isn't pseudo-tensor? May you advise literature where is a discussion about the difference between even-dimensional and odd-dimensional pseudo-tensor and how it links with parity? Because I did't get that.
6. I Pseudotensors in different dimensions

For example vector of magnetic field is pseudo-vector and it is determined in three-dimension, isn't it? Sorry, I don't quite understand your first message. For example in this book http://farside.ph.utexas.edu/teaching/em/lectures/node120.html , author works in Minkovski space and uses parity...
7. I Pseudotensors in different dimensions

May you explain why?
8. I Parity of theta term of Lagrangian

Thank you for replying. Would you say my reasoning above is true?
9. I Vectors in Minkowski space and parity

It is known that vectors change them sing under the influence of parity when ##(x,z,y)## change into ##(-x,-z,-y)## $$P: y_{i} \rightarrow -y_{i}$$ where ##i=1,2,3## But what about vectors in Minkowski space? Is it true that $$P: y_{\mu} \rightarrow -y_{\mu}$$ where ##\mu=0,1,2,3##. If yes how...
10. I Pseudotensors in different dimensions

In this topic https://physics.stackexchange.com/questions/129417/what-is-pseudo-tensor one answer was the next: The action of parity on a tensor or pseudotensor depends on the number of indices it has (i.e. its tensor rank): - Tensors of odd rank (e.g. vectors) reverse sign under parity. -...
11. I Parity of theta term of Lagrangian

it seems the topic is needed to shift in "High Energy, Nuclear, Particle Physics".
12. I Parity of theta term of Lagrangian

I have a very simple question. Let's consider the theta term of Lagrangian: $$L = \theta \frac{g^2}{32 \pi^2} G_{\mu \nu}^a \tilde{G}^{a, \mu \nu}$$ Investigate parity of this term: $$P(G_{\mu \nu}^a)=+G_{\mu \nu}^a$$ $$P( \tilde{G}^{a, \mu \nu} ) =-G_{\mu \nu}^a$$ It is obvious. But what about...
13. Operation with tensor quantities in quantum field theory

I would like to know where one may operate with tensor quantities in quantum field theory: Minkowski tensors, spinors, effective lagrangians (for example sigma models or models with four quark interaction), gamma matrices, Grassmann algebra, Lie algebra, fermion determinants and et cetera. I...
14. Quantum QFT: groups, effective action, fiber bundles, anomalies, EFT

Yes. Thank you for advice. Is there something other than Weinberg? And I would like to know are there any QFT books written from a mathematical view?
15. Quantum QFT: groups, effective action, fiber bundles, anomalies, EFT

Hi, I am looking for textbooks in QFT. I studied QFT using Peskin And Schroeder + two year master's degree QFT programme. I want to know about the next items: 1) Lorentz group and Lie group (precise adjectives, group representation and connection between fields and spins from the standpoint of...