| 000 | 02557nam a22004335i 4500 | ||
|---|---|---|---|
| 001 | 978-3-642-38565-0 | ||
| 003 | DE-He213 | ||
| 005 | 20140220082912.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 130719s2013 gw | s |||| 0|eng d | ||
| 020 |
_a9783642385650 _9978-3-642-38565-0 |
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| 024 | 7 |
_a10.1007/978-3-642-38565-0 _2doi |
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| 050 | 4 | _aQC19.2-20.85 | |
| 072 | 7 |
_aPBWH _2bicssc |
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| 072 | 7 |
_aMAT003000 _2bisacsh |
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| 082 | 0 | 4 |
_a519 _223 |
| 100 | 1 |
_aWang, C.B. _eauthor. |
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| 245 | 1 | 0 |
_aApplication of Integrable Systems to Phase Transitions _h[electronic resource] / _cby C.B. Wang. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2013. |
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| 300 |
_aX, 219 p. 10 illus. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 505 | 0 | _aIntroduction -- Densities in Hermitian Matrix Models -- Bifurcation Transitions and Expansions -- Large-N Transitions and Critical Phenomena -- Densities in Unitary Matrix Models -- Transitions in the Unitary Matrix Models -- Marcenko-Pastur Distribution and McKay’s Law. | |
| 520 | _aThe eigenvalue densities in various matrix models in quantum chromodynamics (QCD) are ultimately unified in this book by a unified model derived from the integrable systems. Many new density models and free energy functions are consequently solved and presented. The phase transition models including critical phenomena with fractional power-law for the discontinuities of the free energies in the matrix models are systematically classified by means of a clear and rigorous mathematical demonstration. The methods here will stimulate new research directions such as the important Seiberg-Witten differential in Seiberg-Witten theory for solving the mass gap problem in quantum Yang-Mills theory. The formulations and results will benefit researchers and students in the fields of phase transitions, integrable systems, matrix models and Seiberg-Witten theory. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aFunctions, special. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aMathematical Applications in the Physical Sciences. |
| 650 | 2 | 4 | _aSpecial Functions. |
| 650 | 2 | 4 | _aMathematical Physics. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783642385643 |
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-642-38565-0 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c98285 _d98285 |
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