Gravitational Waves from a Quantum Field Theory Perspective

ISBN-13: 9783031237690 / Angielski / Miękka / 2023 / 240 str.

Subhendra Mohanty

Opis

This book treats the subject of gravitational waves (GWs) production in binary stars or black-holes and in the early universe, using tools of quantum field theory which are familiar to graduate students and researchers in particle physics. A special focus is given to the generation of templates of gravitational wave signals from Feynman diagram calculations of transition amplitudes, which interests active researchers in GWs. The book presents field theory concepts, like supersymmetry realized in spinning binaries and soft-graviton theorems, that can have practical applications in novel GW signals, like the memory effect. The book also aims at specialists in both GWs and particle physics addressing cosmological models of phase transition and inflation that can be tested in observations at terrestrial and space based interferometers, pulsar timing arrays, and the cosmic microwave anisotropy observations.

Spis treści

1 Introduction

References

2 Gravitational waves in classical general relativity 

2.1 Introduction

2.2 Waveform of gravitational waves at detectors

2.3 Polarizations of gravitational waves 

2.4 Waveforms from compact binaries

2.5 Gravitational waveform from sources at cosmological distances 

2.6 Graviton propagation in the dark matter/dark energy medium

2.7 Propagation of gravitational waves through perfect fluid medium 

2.8 Propagation through dissipative medium

2.9 Propagation through scalar field dark matter

2.10 Polarizations of the graviton

2.11 Modified gravity theories 

References

3 Field theory of Linearised Gravity 

3.1 Field theory of Linearised gravity 

3.2 Graviton-Matter coupling

3.3 Gauge invariance and conservation of stress tensor

3.4 Newtonian gravity

3.5 1PN correction: Einstein-Infeld-Hoffmann action

3.6 Quantum gravity corrections to Newtonian potential

3.7 Massive gravity theories

3.8 Bending of light

3.9 Eikonal method

3.10 Bending of light by a spinning star

3.11 Gravitational Cerenkov radiation

3.12 Gravitational wave-form from quantum amplitude

3.13 Waveform from quantum amplitude: coalescing binary

References

4 Gravitational wave radiation from binary stars

4.1 Introduction

4.2 Gravitational wave radiation from compact binary stars

4.3 Binary radiation in the non-relativistic effective theory

4.4 Gravitational radiation from binary stars in the effective theory

4.5 Radiation of ultralight-scalars from binary stars

4.6 Vector boson radiation by neutron star binaries

4.7 Waveform of GRW signal from eccentric coalescing binaries

References 

5 Graviton emission from spinning bodies

5.1 Dynamics of spinning bodies in General Relativity

5.2 Binary system of spinning blackholes

5.3 Signature of black-hole spins in gravitational wave events

5.4 Post Newtonian order spin effects in GW signals from binaries

5.5 Finite size effects in spinning binary neutron stars

5.6 Effective action for spin-orbital and spin-spin couplings in binaries

5.7 Supersymmetric transformations of fields

5.8 Supersymmetry of spinning bodies

References

6 Gravitational memory and soft-graviton theorem

6.1 Soft graviton amplitudes

6.2 Log corrections to leading order soft-graviton amplitude

6.3 Gravitational wave-form from soft amplitudes

6.4 Memory effect from soft-graviton theorem

6.5 Wave-form of gravitational memory from coalescing binary

6.6 Memory effect in FLRW background

6.7 Hyperbolic scattering of compact stars and soft-graviton amplitudes

References 

7 Stochastic gravitational waves

7.1 Stochastic gravitational waves

7.2 Symmetry breaking and topological defects

7.3 Gravitational radiation from Domain walls

7.4 Gravitational radiation from Cosmic strings

7.5 Monopole bounded strings

7.6 String bounded domain walls

7.7 Generation of GW in phase transition

7.8 Stochastic GW from unresolved binaries

References

8 Inflation

8.1 Inflation

8.2 Stochastic gravity waves from inflation

8.3 Gravitational waves from second order scalar perturbations

8.4 Gravitational wave from pre-heating

8.5 Primordial black-holes

8.6 Stochastic Gravitational wave in Primordial Black-hole formation

8.7 Effective field theory of Inflation

References

Index

O autorze

Subhendra Mohanty obtained his PhD from University of Wisconsin, Madison, USA in 1989. After that he held postdoctoral positions at CERN and ICTP. He joined the Physical Research Laboratory in Ahmedabad (India) in 1994, where he is currently a Professor. He spent a sabbatical year in Universita Autonoma of Barcelona in 2007. His fields of investigation are particle physics and cosmology. He was elected as a Fellow of National Academy of Sciences India in 2021.He published 100+ papers in international peer-reviewed journals and has been involved in teaching courses for graduate students and young researchers. He already published in Lecture Notes in Physics the volume Astroparticle Physics and Cosmology: Perspectives in the Multimessenger Era (Springer, 2020).