Topics of Measure Theory on Infinite Dimensional Spaces

Autor: Velhinho, José

Publikováno v: Mathematics 5 (2017) 3, 44

This short review is devoted to measures on infinite dimensional spaces. We start by discussing product measures and projective techniques. Special attention is paid to measures on linear spaces, and in particular to Gaussian measures. Transformation

Externí odkaz: http://arxiv.org/abs/2312.04365

Canonical Quantization of the Scalar Field: The Measure Theoretic Perspective

Autor: Velhinho, José

Publikováno v: Adv.Math.Phys. 2015 (2015) 608940

This review is devoted to measure theoretical methods in the canonical quantization of scalar field theories. We present in some detail the canonical quantization of the free scalar field. We study the measures associated with the free fields and pre

Externí odkaz: http://arxiv.org/abs/2311.11304

A Brief Overview of Results about Uniqueness of the Quantization in Cosmology

Autor: Cortez, Jerónimo, Marugán, Guillermo A. Mena, Velhinho, José M.

Publikováno v: Universe 2021, 7, 299

The purpose of this review is to provide a brief overview of some recent conceptual developments about possible criteria to guarantee the uniqueness of the quantization in a variety of situations that are found in cosmological systems. These criteria

Externí odkaz: http://arxiv.org/abs/2108.07489

Quantum linear scalar fields with time dependent potentials: Overview and applications to cosmology

Autor: Cortez, Jerónimo, Marugán, Guillermo A. Mena, Velhinho, José

In this work, we present an overview of uniqueness results derived in recent years for the quantization of Gowdy cosmological models and for (test) Klein-Gordon fields minimally coupled to Friedmann-Lema\^{\i}tre-Robertson-Walker, de Sitter, and Bian

Externí odkaz: http://arxiv.org/abs/1912.04203

Black holes, gravitational waves and fundamental physics: a roadmap

Autor: Barack, Leor, Cardoso, Vitor, Nissanke, Samaya, Sotiriou, Thomas P., Askar, Abbas, Belczynski, Krzysztof, Bertone, Gianfranco, Bon, Edi, Blas, Diego, Brito, Richard, Bulik, Tomasz, Burrage, Clare, Byrnes, Christian T., Caprini, Chiara, Chernyakova, Masha, Chrusciel, Piotr, Colpi, Monica, Ferrari, Valeria, Gaggero, Daniele, Gair, Jonathan, Garcia-Bellido, Juan, Hassan, S. F., Heisenberg, Lavinia, Hendry, Martin, Heng, Ik Siong, Herdeiro, Carlos, Hinderer, Tanja, Horesh, Assaf, Kavanagh, Bradley J., Kocsis, Bence, Kramer, Michael, Tiec, Alexandre Le, Mingarelli, Chiara, Nardini, Germano, Nelemans, Gijs, Palenzuela, Carlos, Pani, Paolo, Perego, Albino, Porter, Edward K., Rossi, Elena M., Schmidt, Patricia, Sesana, Alberto, Sperhake, Ulrich, Stamerra, Antonio, Stein, Leo C., Tamanini, Nicola, Tauris, Thomas M., Urena-Lopez, L. Arturo, Vincent, Frederic, Volonteri, Marta, Wardell, Barry, Wex, Norbert, Yagi, Kent, Abdelsalhin, Tiziano, Aloy, Miguel Angel, Amaro-Seoane, Pau, Annulli, Lorenzo, Arca-Sedda, Manuel, Bah, Ibrahima, Barausse, Enrico, Barakovic, Elvis, Benkel, Robert, Bennett, Charles L., Bernard, Laura, Bernuzzi, Sebastiano, Berry, Christopher P. L., Berti, Emanuele, Bezares, Miguel, Blanco-Pillado, Jose Juan, Blazquez-Salcedo, Jose Luis, Bonetti, Matteo, Boskovic, Mateja, Bosnjak, Zeljka, Bricman, Katja, Bruegmann, Bernd, Capelo, Pedro R., Carloni, Sante, Cerda-Duran, Pablo, Charmousis, Christos, Chaty, Sylvain, Clerici, Aurora, Coates, Andrew, Colleoni, Marta, Collodel, Lucas G., Compere, Geoffrey, Cook, William, Cordero-Carrion, Isabel, Correia, Miguel, de la Cruz-Dombriz, Alvaro, Czinner, Viktor G., Destounis, Kyriakos, Dialektopoulos, Kostas, Doneva, Daniela, Dotti, Massimo, Drew, Amelia, Eckner, Christopher, Edholm, James, Emparan, Roberto, Erdem, Recai, Ferreira, Miguel, Ferreira, Pedro G., Finch, Andrew, Font, Jose A., Franchini, Nicola, Fransen, Kwinten, Gal'tsov, Dmitry, Ganguly, Apratim, Gerosa, Davide, Glampedakis, Kostas, Gomboc, Andreja, Goobar, Ariel, Gualtieri, Leonardo, Guendelman, Eduardo, Haardt, Francesco, Harmark, Troels, Hejda, Filip, Hertog, Thomas, Hopper, Seth, Husa, Sascha, Ihanec, Nada, Ikeda, Taishi, Jaodand, Amruta, Jimenez-Forteza, Philippe Jetzer Xisco, Kamionkowski, Marc, Kaplan, David E., Kazantzidis, Stelios, Kimura, Masashi, Kobayashi, Shiho, Kokkotas, Kostas, Krolik, Julian, Kunz, Jutta, Lammerzahl, Claus, Lasky, Paul, Lemos, Jose P. S., Said, Jackson Levi, Liberati, Stefano, Lopes, Jorge, Luna, Raimon, Ma, Yin-Zhe, Maggio, Elisa, Montero, Marina Martinez, Maselli, Andrea, Mayer, Lucio, Mazumdar, Anupam, Messenger, Christopher, Menard, Brice, Minamitsuji, Masato, Moore, Christopher J., Mota, David, Nampalliwar, Sourabh, Nerozzi, Andrea, Nichols, David, Nissimov, Emil, Obergaulinger, Martin, Obers, Niels A., Oliveri, Roberto, Pappas, George, Pasic, Vedad, Peiris, Hiranya, Petrushevska, Tanja, Pollney, Denis, Pratten, Geraint, Rakic, Nemanja, Racz, Istvan, Radia, Miren, Ramazanouglu, Fethi M., Ramos-Buades, Antoni, Raposo, Guilherme, Rosca-Mead, Roxana, Rogatko, Marek, Rosinska, Dorota, Rosswog, Stephan, Morales, Ester Ruiz, Sakellariadou, Mairi, Sanchis-Gual, Nicolas, Salafia, Om Sharan, Samajdar, Anuradha, Sintes, Alicia, Smole, Majda, Sopuerta, Carlos, Souza-Lima, Rafael, Stalevski, Marko, Stergioulas, Nikolaos, Stevens, Chris, Tamfal, Tomas, Torres-Forne, Alejandro, Tsygankov, Sergey, Unluturk, Kivanc, Valiante, Rosa, van de Meent, Maarten, Velhinho, Jose, Verbin, Yosef, Vercnocke, Bert, Vernieri, Daniele, Vicente, Rodrigo, Vitagliano, Vincenzo, Weltman, Amanda, Whiting, Bernard, Williamson, Andrew, Witek, Helvi, Wojnar, Aneta, Yakut, Kadri, Yan, Haopeng, Yazadjiev, Stoycho, Zaharijas, Gabrijela, Zilhao, Miguel

The grand challenges of contemporary fundamental physics---dark matter, dark energy, vacuum energy, inflation and early universe cosmology, singularities and the hierarchy problem---all involve gravity as a key component. And of all gravitational phe

Externí odkaz: http://arxiv.org/abs/1806.05195