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Quantum Field Theory on NC Curved Spacetimes

Quantum Field Theory on NC Curved Spacetimes

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Why? Motivati<strong>on</strong><br />

◮ QFT <strong>on</strong> curved spacetimes is important for physics<br />

→ cosmology (CMB fluctuati<strong>on</strong>s) and black holes (Hawking radiati<strong>on</strong>)<br />

◮ precise formulati<strong>on</strong> via algebraic approach [Wald, Hamburg AQFT group, . . . ]<br />

◮ But why should we make all of this n<strong>on</strong>commutative?<br />

◮ <strong>NC</strong> geometry from quantum gravity!?!?<br />

→ include some quantum gravity effects in QFT <strong>on</strong> CS<br />

◮ <strong>NC</strong> in cosmology and black hole physics is of physical interest<br />

→ provide formal background for phenomenology<br />

◮ ∃ <strong>NC</strong> gravity soluti<strong>on</strong>s [Schupp, Solodukhin; Ohl, AS; Aschieri, Castellani]<br />

→ test their physical implicati<strong>on</strong>s by using QFT <strong>on</strong> CS<br />

A. Schenkel (Würzburg) QFT <strong>on</strong> <strong>NC</strong> CS DESY 2010 2 / 9

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