@article{36ffc4f7f08641c996dd86a382166c55,
title = "Rolling classical scalar field in a linear potential coupled to a quantum field",
abstract = "We study the dynamics of a classical scalar field that rolls down a linear potential as it interacts bi-quadratically with a quantum field. We explicitly solve the dynamical problem by using the classical-quantum correspondence (CQC). Rolling solutions on the effective potential are shown to compare very poorly with the full solution. Spatially homogeneous initial conditions maintain their homogeneity and small inhomogeneities in the initial conditions do not grow.",
author = "Mainak Mukhopadhyay and Tanmay Vachaspati",
note = "Funding Information: We are especially grateful to George Zahariade for important feedback, and to Matt Baumgart, Juan Maldacena and Vincent Vennin for discussions and comments. T. V. thanks CEICO (Prague), APC (Universite Paris Diderot), and IAS (Princeton) for hospitality while this work was being done. T. V. is supported by the U.S. Department of Energy, Office of High Energy Physics, under Award No. DE-SC0019470 at Arizona State University. [1] 1 G. Aarts and J. Smit , Phys. Rev. D 61 , 025002 ( 1999 ). PRVDAQ 0556-2821 10.1103/PhysRevD.61.025002 [2] 2 T. Vachaspati and G. Zahariade , Phys. Rev. D 98 , 065002 ( 2018 ). PRVDAQ 2470-0010 10.1103/PhysRevD.98.065002 [3] 3 T. Vachaspati and G. Zahariade , J. Cosmol. Astropart. Phys. 09 ( 2019 ) 015 . JCAPBP 1475-7516 10.1088/1475-7516/2019/09/015 [4] 4 T. Vachaspati and G. Zahariade , J. Cosmol. Astropart. Phys. 04 ( 2019 ) 013 . JCAPBP 1475-7516 10.1088/1475-7516/2019/04/013 [5] 5 S. Borsanyi and M. Hindmarsh , Phys. Rev. D 77 , 045022 ( 2008 ). PRVDAQ 1550-7998 10.1103/PhysRevD.77.045022 [6] 6 M. P. Hertzberg , Phys. Rev. D 82 , 045022 ( 2010 ). PRVDAQ 1550-7998 10.1103/PhysRevD.82.045022 [7] 7 J. Olle , O. Pujolas , T. Vachaspati , and G. Zahariade , Phys. Rev. D 100 , 045011 ( 2019 ). PRVDAQ 2470-0010 10.1103/PhysRevD.100.045011 [8] 8 J. M. Bardeen and G. J. Bublik , Classical Quantum Gravity 4 , 573 ( 1987 ). CQGRDG 0264-9381 10.1088/0264-9381/4/3/015 [9] 9 D. Boyanovsky and H. J. de Vega , Phys. Rev. D 47 , 2343 ( 1993 ). PRVDAQ 0556-2821 10.1103/PhysRevD.47.2343 [10] 10 S. Mrowczynski and B. Muller , Phys. Rev. D 50 , 7542 ( 1994 ). PRVDAQ 0556-2821 10.1103/PhysRevD.50.7542 [11] 11a S. A. Ramsey and B. L. Hu , Phys. Rev. D 56 , 678 ( 1997 ); PRVDAQ 0556-2821 10.1103/PhysRevD.56.678 11b S. A. Ramsey and B. L. Hu Phys. Rev. D 57 , 3798(E) ( 1998 ). PRVDAQ 0556-2821 10.1103/PhysRevD.57.3798 [12] 12 D. J. Bedingham and H. F. Jones , Phys. Rev. D 68 , 025004 ( 2003 ). PRVDAQ 0556-2821 10.1103/PhysRevD.68.025004 [13] 13 G. Aarts and A. Tranberg , Phys. Rev. D 77 , 123521 ( 2008 ). PRVDAQ 1550-7998 10.1103/PhysRevD.77.123521 [14] 14 V. Asnin , E. Rabinovici , and M. Smolkin , J. High Energy Phys. 08 ( 2009 ) 001 . JHEPFG 1029-8479 10.1088/1126-6708/2009/08/001 [15] 15 M. E. Peskin and D. V. Schroeder , An Introduction to Quantum Field Theory ( Addison-Wesley , Reading, MA, 1995 ). [16] 16 K. Huang and R. Tipton , Phys. Rev. D 23 , 3050 ( 1981 ). PRVDAQ 0556-2821 10.1103/PhysRevD.23.3050 [17] 17a V. F. Mukhanov and G. V. Chibisov , Pis{\textquoteright}ma Zh. Eksp. Teor. Fiz. 33 , 549 ( 1981 ) PZETAB 0370-274X 17b [ V. F. Mukhanov and G. V. Chibisov JETP Lett. 33 , 532 ( 1981 )]. JTPLA2 0021-3640 [18] 18 C. Kiefer , D. Polarski , and A. A. Starobinsky , Int. J. Mod. Phys. D 07 , 455 ( 1998 ). IMPDEO 0218-2718 10.1142/S0218271898000292 Funding Information: We are especially grateful to George Zahariade for important feedback, and to Matt Baumgart, Juan Maldacena and Vincent Vennin for discussions and comments. T. V. thanks CEICO (Prague), APC (Universite Paris Diderot), and IAS (Princeton) for hospitality while this work was being done. T. V. is supported by the U.S. Department of Energy, Office of High Energy Physics, under Award No. DE-SC0019470 at Arizona State University. Publisher Copyright: {\textcopyright} 2019 authors. Published by the American Physical Society.",
year = "2019",
month = nov,
day = "25",
doi = "10.1103/PhysRevD.100.096018",
language = "English (US)",
volume = "100",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "9",
}