Stochastic quantization of two-dimensional $P(Φ)$ Quantum Field Theory

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Duch, Paweł, Dybalski, Wojciech, Jahandideh, Azam
Format:	Preprint
Published:	2023
Subjects:	Mathematical Physics Probability
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Flow equation approach to singular stochastic PDEs
by: Duch, Paweł
Published: (2021)

Stochastic quantization associated with the $\exp(Φ)_2$-quantum field model driven by space-time white noise on the torus
by: Hoshino, Masato, et al.
Published: (2019)

Construction of Gross-Neveu model using Polchinski flow equation
by: Duch, Paweł
Published: (2024)

Ergodicity of infinite volume $Φ^4_3$ at high temperature
by: Duch, Paweł, et al.
Published: (2025)

Parabolic stochastic quantisation of the fractional $Φ^4_3$ model in the full subcritical regime
by: Duch, Paweł, et al.
Published: (2023)

A Stochastic Analysis Approach to Tensor Field Theories
by: Chandra, Ajay, et al.
Published: (2023)

Stochastic quantization of the $Φ^3_3$-model
by: Oh, Tadahiro, et al.
Published: (2021)

On the Onsager-Machlup functional of the $Φ^4$-measure
by: Gasteratos, Ioannis, et al.
Published: (2025)

Exact Schwinger functions for a class of bounded interactions in $d\geq 2$
by: Dybalski, Wojciech
Published: (2025)

Quantum phase transition of infrared radiation
by: Biadasiewicz, Bartosz, et al.
Published: (2024)

$Φ^4_3$ Theory from many-body quantum Gibbs states
by: Nam, Phan Thành, et al.
Published: (2025)

Ergodicity of the Anderson $Φ_2^4$ model
by: Eulry, Hugo, et al.
Published: (2025)

Scattering in relativistic quantum field theory: basic concepts, tools, and results
by: Buchholz, Detlev, et al.
Published: (2005)

Backbone exponent for two-dimensional percolation
by: Nolin, Pierre, et al.
Published: (2023)

Low temperature expansion for the Euclidean $Φ^4_2$-measure
by: Gess, Benjamin, et al.
Published: (2024)

Large Deviations of the Schwarzian Field Theory
by: Losev, Ilya
Published: (2024)

Probabilistic Definition of the Schwarzian Field Theory
by: Bauerschmidt, Roland, et al.
Published: (2024)

Mesoscopic averaging of the two-dimensional KPZ equation
by: Tao, Ran
Published: (2023)

Smallest gaps of the two-dimensional Coulomb gas
by: Charlier, Christophe
Published: (2025)

The two-dimensional one-component plasma is hyperuniform
by: Leblé, Thomas
Published: (2021)

Quantum variance and fluctuations for Walsh-quantized baker's maps
by: Shou, Laura
Published: (2025)

Probabilistic Correlation Functions of the Schwarzian Field Theory
by: Losev, Ilya
Published: (2024)

Uniqueness of the $Φ^4_3$ measures on closed Riemannian $3$-manifolds
by: Bailleul, I.
Published: (2023)

$G$-Gaussian random fields and stochastic quantization under nonlinear expectation
by: Hu, Haoran
Published: (2023)

Central limit theorem for the focusing $Φ^4$-measure in the infinite volume limit
by: Seong, Kihoon, et al.
Published: (2024)

Stochastic Processes: From Classical to Quantum
by: Lim, Soon Hoe
Published: (2024)

Law of large numbers for the maximum of the two-dimensional Coulomb gas potential
by: Lambert, Gaultier, et al.
Published: (2023)

The two-dimensional Coulomb gas: fluctuations through a spectral gap
by: Ameur, Yacin, et al.
Published: (2022)

From path integral quantization to stochastic quantization: a pedestrian's journey
by: Benedetti, Dario, et al.
Published: (2026)

Large deviations and free energy of Gibbs measure for the dynamical $Φ^3$-model in infinite volume
by: Seong, Kihoon, et al.
Published: (2024)

Exponential Stability of Subspaces for Quantum Stochastic Master Equations
by: Benoist, Tristan, et al.
Published: (2015)

Small deviations of Gaussian multiplicative chaos and the free energy of the two-dimensional massless Sinh--Gordon model
by: Barashkov, Nikolay, et al.
Published: (2024)

Stochastic modeling of Fourier modes in two-dimensional turbulence via filtered white noise
by: Cifani, Paolo, et al.
Published: (2026)

Deformations and q-convolutions. Old and new results
by: Bozejko, Marek, et al.
Published: (2023)

Derivation of the focusing $Φ^6_1$ measure in the optimal mass regime from many-body quantum Gibbs states
by: Lü, Lin, et al.
Published: (2026)

A quantization of interacting particle systems
by: Akahori, Jirô, et al.
Published: (2024)

The Bałaban variational problem in the non-linear sigma model
by: Dybalski, Wojciech, et al.
Published: (2024)

Mean-Field Magnetohydrodynamics Models as Scaling Limits of Stochastic Induction Equations
by: Butori, Federico, et al.
Published: (2024)

Szegő type correlations for two-dimensional outpost ensembles
by: Ameur, Yacin, et al.
Published: (2026)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
language	"en"
ui	"standard"
VUFIND_SESSION	"f97e137aae411cb944896ea30b8523c4"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790976257.7435 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "f97e137aae411cb944896ea30b8523c4" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"language=en; ui=standard; VUFIND_SESSION=f97e137aae411cb944896ea30b8523c4"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.142"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"57221"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2311_04137/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2311_04137/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790976257.739
REQUEST_TIME	1790976257

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
language	"en"
ui	"standard"
VUFIND_SESSION	"f97e137aae411cb944896ea30b8523c4"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790976257.7435 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "f97e137aae411cb944896ea30b8523c4" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"language=en; ui=standard; VUFIND_SESSION=f97e137aae411cb944896ea30b8523c4"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.142"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"57221"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2311_04137/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2311_04137/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790976257.739
REQUEST_TIME	1790976257

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: