000			03290nam a22004815i 4500
001			978-94-007-0205-9
003			DE-He213
005			20140220083828.0
007			cr nn 008mamaa
008			110624s2011 ne | s |||| 0|eng d
020			_a9789400702059 _9978-94-007-0205-9
024	7		_a10.1007/978-94-007-0205-9 _2doi
050		4	_aQC5.53
072		7	_aPHU _2bicssc
072		7	_aSCI040000 _2bisacsh
082	0	4	_a530.15 _223
100	1		_aFursaev, Dmitri. _eauthor.
245	1	0	_aOperators, Geometry and Quanta _h[electronic resource] : _bMethods of Spectral Geometry in Quantum Field Theory / _cby Dmitri Fursaev, Dmitri Vassilevich.
264		1	_aDordrecht : _bSpringer Netherlands, _c2011.
300			_aXVI, 288 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aTheoretical and Mathematical Physics, _x1864-5879
505	0		_a1 Preface -- 2 Notation Index I The Basics: 3 Geometrical Background -- 4 Quantum fields II Spectral geometry: 5 Operators and their spectra -- 6 Spectral functions -- 7 Non-linear spectral problems -- 8 Anomalies and Index Theorem III Applications: 9 Effective action -- 10 Anomalies in quantum field theories -- 11 Vacuum energy -- 12 Open strings and Born-Infeld action -- 13 Noncommutative geometry and field theory IV Problem solving: 14 Solutions to exercises.
520			_aThis book gives a detailed and self-contained introduction into the theory of spectral functions, with an emphasis on their applications to quantum field theory. All methods are illustrated with applications to specific physical problems from the forefront of current research, such as finite-temperature field theory, D-branes, quantum solitons and noncommutativity. In the first part of the book, necessary background information on differential geometry and quantization, including less standard material, is collected. The second part of the book contains a detailed description of main spectral functions and methods of their calculation. In the third part, the theory is applied to several examples (D-branes, quantum solitons, anomalies, noncommutativity). More than hundred exercises together with their solutions are included. This book addresses advanced graduate students and researchers in mathematical physics and in neighbouring areas with basic knowledge of quantum field theory and differential geometry. The aim is to prepare readers to use spectral functions in their own research, in particular in relation to heat kernels and zeta functions.
650		0	_aPhysics.
650		0	_aGlobal analysis.
650		0	_aMathematical physics.
650	1	4	_aPhysics.
650	2	4	_aMathematical Methods in Physics.
650	2	4	_aGlobal Analysis and Analysis on Manifolds.
650	2	4	_aQuantum Field Theories, String Theory.
700	1		_aVassilevich, Dmitri. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9789400702042
830		0	_aTheoretical and Mathematical Physics, _x1864-5879
856	4	0	_uhttp://dx.doi.org/10.1007/978-94-007-0205-9
912			_aZDB-2-PHA
999			_c109225 _d109225