The Path Integral, Perturbation Theory and Complex Actions

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• Thus the Newtonian potential is φ = −GM |⃗x − ⃗r(t ′ )| • This is just the Newtonian potential of a point mass at a position given by the retarded time, as expected. Tuesday, 2 April, 13
Perspectives for measurement • <strong>The</strong>re are three potential detectors of gravitational fields that might be able to detect this effect. • Torsion balances, (micro-) cantilevers, <strong>and</strong> other mechanical detectors. • Interferometers (LIGO, VIRGO, etc). • Quantum mechanical gravity sensitive effects (QBounce, cavity QED, atom interferometry etc). Tuesday, 2 April, 13
Page 1 and 2: A proposal to measure the speed of
Page 3 and 4: Motivation • Tests of Newton’s
Page 5 and 6: • The cylinder is about 60 cm lon
Page 7 and 8: • Here the lower disc is rotated
Page 9 and 10: Tuesday, 2 April, 13
Page 11 and 12: • The masses generate equal and o
Page 13 and 14: Tuesday, 2 April, 13 In a greatly e
Page 15 and 16: • Which can be written as: F = Gm
Page 17 and 18: • The denominators should be: F =
Page 19 and 20: • For a path difference of the or
Page 21 and 22: ulated from the gravitational analo
Page 23 and 24: • Then the solution is given by t
Page 25 and 26: • expanding then to lowest order
Page 27: • Hence we get e assumption that
Page 31 and 32: Negative mass and the gravitational
Page 33 and 34: • A sphere with a spherical cavit
Page 35 and 36: • Thus the potential is to lowest
Page 37 and 38: Q Bounce • This experiment places
Page 39 and 40: Interferometric gravitational wave
Page 41: Conclusions • We have proposed a

The Path Integral, Perturbation Theory and Complex Actions

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