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| Tags: book, field, opinions, quantum, theory |
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#1
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http://www.amazon.com/Quantum-Field-.../dp/0195091582
I yoinked it from the library and have been learning a bit from it since. My understanding of group theory has improved a fair bit. It seems suited for my level of understanding, but I'm wondering if any of you have any differing opinions / book counter-suggestions. Since my heart is set on understanding gravity, I figure teaching myself a chunk of quantum field theory would be a useful step. I need to understand where both theories fail in order to understand how to make them work - I hate taking for granted what I'm told about QFT's failings. |
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#2
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On Jun 16, 9:24 pm, Eric Gisse wrote:
http://www.amazon.com/Quantum-Field-...duction/dp/019... I yoinked it from the library and have been learning a bit from it since. My understanding of group theory has improved a fair bit. It seems suited for my level of understanding, but I'm wondering if any of you have any differing opinions / book counter-suggestions. Since my heart is set on understanding gravity, I figure teaching myself a chunk of quantum field theory would be a useful step. I need to understand where both theories fail in order to understand how to make them work - I hate taking for granted what I'm told about QFT's failings. Quantum field theory (QFT) provides a theoretical framework, widely used in particle physics and condensed matter physics, but matter cannot condense to an invariant Lorentz state since "someone" disagrees that temperature cannot "also" be Lorentz invariant. But if that someone believes temperature is not related to the "condensed" matter then anything is possible including pink elephants. |
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#3
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On Jun 17, 12:35 am, " wrote:
[snip crap] Shut the **** up. |
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#4
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On Jun 17, 4:24 am, Eric Gisse wrote:
http://www.amazon.com/Quantum-Field-...duction/dp/019... I yoinked it from the library and have been learning a bit from it since. My understanding of group theory has improved a fair bit. It seems suited for my level of understanding, but I'm wondering if any of you have any differing opinions / book counter-suggestions. Since my heart is set on understanding gravity, I figure teaching myself a chunk of quantum field theory would be a useful step. I need to understand where both theories fail in order to understand how to make them work - I hate taking for granted what I'm told about QFT's failings. ---------- an imbecil parrot like you will never learn something new you was born a parrot Y.Porat ---------------- |
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#5
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On Jun 16, 9:24 pm, Eric Gisse wrote:
http://www.amazon.com/Quantum-Field-...duction/dp/019... I yoinked it from the library and have been learning a bit from it since. My understanding of group theory has improved a fair bit. It seems suited for my level of understanding, but I'm wondering if any of you have any differing opinions / book counter-suggestions. Since my heart is set on understanding gravity, I figure teaching myself a chunk of quantum field theory would be a useful step. I need to understand where both theories fail in order to understand how to make them work - I hate taking for granted what I'm told about QFT's failings. Quantum field theory (QFT) provides a theoretical framework, widely used in particle physics and condensed matter physics, but matter cannot condense to an invariant Lorentz state since "someone" disagrees that temperature cannot "also" be Lorentz invariant. But if that someone believes temperature is not related to the "condensed" matter then anything is possible including pink elephants. |
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#6
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On Jun 16, 9:24 pm, Eric Gisse wrote:
http://www.amazon.com/Quantum-Field-...duction/dp/019... I yoinked it from the library and have been learning a bit from it since. My understanding of group theory has improved a fair bit. It seems suited for my level of understanding, but I'm wondering if any of you have any differing opinions / book counter-suggestions. Since my heart is set on understanding gravity, I figure teaching myself a chunk of quantum field theory would be a useful step. I need to understand where both theories fail in order to understand how to make them work - I hate taking for granted what I'm told about QFT's failings. Quantum field theory (QFT) provides a theoretical framework, widely used in particle physics and condensed matter physics, but matter cannot condense to an invariant Lorentz state since "someone" disagrees that temperature cannot "also" be Lorentz invariant. But if that someone believes temperature is not related to the "condensed" matter then anything is possible including pink elephants. |
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#7
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Eric Gisse wrote:
Since my heart is set on understanding gravity, I figure teaching myself a chunk of quantum field theory would be a useful step. Good idea. Modern theoretical physics is an integrated whole, in that the different theories like GR and QFT share a lot of common ideas and techniques. But it is not fully integrated theoretically, as QFT and GR are incommensurate. This is, of course, the major theoretical problem facing physics today (most other problems, such as puzzles like dark matter and dark energy, are directly related to it...). Both GR and QFT are at base geometrical, but in different spaces and with different properties. So, for example, the Lagrangians for both are the scalar curvature of the appropriate space (integrated over the corresponding volume form). If you don't understand what I just said, worry not -- keep studying and at some point you'll have a big "AHA!" moment when it all clicks together. But you must use modern textbooks, and do the problems (one must "read with pencil in hand" or pretty soon it just goes past you). Tom Roberts |
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#8
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Tom Roberts wrote: Eric Gisse wrote: Since my heart is set on understanding gravity, I figure teaching myself a chunk of quantum field theory would be a useful step. Good idea. Modern theoretical physics is an integrated whole, in that the different theories like GR and QFT share a lot of common ideas and techniques. But it is not fully integrated theoretically, as QFT and GR are incommensurate. This is, of course, the major theoretical problem facing physics today (most other problems, such as puzzles like dark matter and dark energy, are directly related to it...). Both GR and QFT are at base geometrical, but in different spaces and with different properties. So, for example, the Lagrangians for both are the scalar curvature of the appropriate space (integrated over the corresponding volume form). If you don't understand what I just said, worry not -- keep studying and at some point you'll have a big "AHA!" Points at which the zombie will have a big "AHA": http://groups.google.ca/group/sci.ph...32844f0766cea? Tom Roberts: "While the constancy of the speed of light was important in the historical development of SR, I agree it has no logical place as a postulate of SR. Einstein's second postulate can be replaced by any of a number of suitable postulates, of which I like this one best: There is a finite upper bound on the speed of propagation of information." Gisse: Big "AHA" and even "AHA" "AHA" "AHA"! http://groups.google.ca/group/sci.ph...4dc146100e32c? Tom Roberts: If it is ultimately discovered that the photon has a nonzero mass (i.e. light in vacuum does not travel at the invariant speed of the Lorentz transform), SR would be unaffected but both Maxwell's equations and QED would be refuted (or rather, their domains of applicability would be reduced). Gisse: Big "AHA" and then "OHO" "OHOHO" "OHOHOHO"! Tom Roberts wrote in sci.physics.relativity: Pentcho Valev wrote: CAN THE SPEED OF LIGHT EXCEED 300000 km/s IN A GRAVITATIONAL FIELD? Sure, depending on the physical conditions of the measurement. It can also be less than "300000 km/s" (by which I assume you really mean the standard value for c). And this can happen even for an accelerated observer in a region without any significant gravitation (e.g. in Minkowski spacetime). Tom Roberts Gisse: Big "AHA" but then: "NO!"...."NO?"....."MASTER ROBERTS?"....."MASTER ROBERTS THEREFORE YES!"...."YES YES YES!" Pentcho Valev |
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#9
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Eric Gisse wrote:
http://www.amazon.com/Quantum-Field-.../dp/0195091582 I yoinked it from the library and have been learning a bit from it since. My understanding of group theory has improved a fair bit. I tried to read this, and one day I may go back and try again. My recollection is that it zooms from trivially simple to impenetrably complex in the space of 2 pages. That, and Kaku has an overly high opinion of himself- but that could be because this book came out around the same time he was protesting the Cassini flyby. -- Andrew Resnick, Ph.D. Department of Physiology and Biophysics Case Western Reserve University |
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#10
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On 2007-06-17, Eric Gisse wrote:
http://www.amazon.com/Quantum-Field-.../dp/0195091582 I yoinked it from the library and have been learning a bit from it since. My understanding of group theory has improved a fair bit. It seems suited for my level of understanding, but I'm wondering if any of you have any differing opinions / book counter-suggestions. I have several suggestions. (1) ``Geometry, Particles and Fields,'' Felsager, B. This textbook would be ideal for you. It covers a wide variety of topics from a modern perspective at a level you should find comfortable. Topics include, field theory, gauge invariance, differential geometry, differential forms and exterior calculus, feynman path integrals, the wick rotation, the \phi^4 model, and so on. There are also a lot of physical examples to illustrate the topics. Group theory is not covered explicitly as a topic, but it is developed as it is used. It also doesn't say much about second quantization, but you can't have everything. (2) ``Quantum Mechanics,'' Schiff, L. The chapter entitled ``Symmetry in Quantum Mechanics,'' is all about applying symmetry groups to quantum mechanics, (meaning unitary groups). This is real useful for extracting the physics from matrix elements of tensor operators (e.g., the wigner-eckart theorem). The last couple of chapters are in an introduction to the dirac and klein-gordon equations and a brief introduction to second quantization. It might be out of print, but it ought to be in any physics library. It's sort of a classic. (3) ``Local Quantum Physics,'' Haag, R. This is more advanced than the other two; it doesn't contain any exercises, but it is not particularly difficult, either. You might want to look at it before buying it. I think you'll find the first item will keep you busy. But, there is at least one (real) field theory textbook I am aware of that you can download if you would like to plow ahead: http://arxiv.org/abs/hep-th/9912205v3 I haven't looked at it, but the author does that sort of thing for a job, so it ought to be ok. Since my heart is set on understanding gravity, I figure teaching myself a chunk of quantum field theory would be a useful step. I need to understand where both theories fail in order to understand how to make them work I realize this suggestion is going to appear less than exciting, but getting a classical mechanics book and studying canonical transformations and poisson brackets will make a lot of things in quantum field theory appear more obvious than seeing the for the first time in the context of quantum field theory. - I hate taking for granted what I'm told about QFT's failings. At the moment, quantum field theory has no failings. At least not any real ones, if by ``failings'' one means failing to predict the phenomena it purports to describe. (Seriously - it predicts phenomena that no longer occur anywhere in the universe other than the accelerator labs needed to test the theory.) Basically, the only real ``failure'' of quantum field theory is that experimentalists have failed to find any new phenomena that would keep the theorists busy creating quantum field theories as explanations,. One might consider this general lull in the experimental action to indicate just how much quantum field theory has not failed. Working better than anyone could have expected is usually a plus. This is not to say that quantum field theory is perfect or even too good to consider alternatives to replace it, but as imperfect and possibly wrong theories go, it beats everything before it, or even on the horizon, hands down. |
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