action.cpp File Reference

Functions for calculating action for one-dimensional potential parameterized by \(E\) and \(\alpha\). More...

#include "action.hpp"
#include "shooting.hpp"

Go to the source code of this file.

Functions
double	action (const double E, const double alpha, const int dim, BubbleProfiler::Shooting_settings settings)

Detailed Description

Functions for calculating action for one-dimensional potential parameterized by \(E\) and \(\alpha\).

The potential is

\[ V(\phi) = E\left[\frac{-4 \alpha +3}{2} \phi^2 - \phi ^3 + \alpha \phi ^4\right]. \]

We must construct potentials etc for particular \(E\) and \(\alpha\) and pass them to the Shooting class.

Definition in file action.cpp.

Function Documentation

double action	(	const double	E,
		const double	alpha,
		const int	dim,
		BubbleProfiler::Shooting_settings	settings
	)

Returns

Action, \(S\)

Parameters

E	\(E\)
alpha	\(\alpha\)
dim	Number of space-time dimensions, \(d\)
settings	Settings for solver

Definition at line 35 of file action.cpp.

References BubbleProfiler::Shooting_settings::action_arrived_rel, BubbleProfiler::Shooting_settings::action_ode_abs, BubbleProfiler::Shooting_settings::action_ode_rel, gaussian_alpha_tests::alpha, BubbleProfiler::Shooting_settings::bisect_lambda_max, BubbleProfiler::Shooting_settings::drho_frac, pyshooting::E, BubbleProfiler::Shooting_settings::f_y_max, BubbleProfiler::Shooting_settings::f_y_min, BubbleProfiler::Shooting::get_euclidean_action(), BubbleProfiler::Shooting_settings::iter_max, BubbleProfiler::Shooting_settings::periods_max, BubbleProfiler::Shooting::set_action_abs_tol(), BubbleProfiler::Shooting::set_action_arrived_rel(), BubbleProfiler::Shooting::set_action_rel_tol(), BubbleProfiler::Shooting::set_bisect_lambda_max(), BubbleProfiler::Shooting::set_bisection_precision_bits(), BubbleProfiler::Shooting::set_drho_frac(), BubbleProfiler::Shooting::set_f_y_max(), BubbleProfiler::Shooting::set_f_y_min(), BubbleProfiler::Shooting::set_max_iterations(), BubbleProfiler::Shooting::set_max_periods(), BubbleProfiler::Shooting::set_shooting_abs_tol(), BubbleProfiler::Shooting::set_shooting_rel_tol(), BubbleProfiler::Shooting::set_y_max(), BubbleProfiler::Shooting_settings::shoot_bisect_bits, BubbleProfiler::Shooting_settings::shoot_ode_abs, BubbleProfiler::Shooting_settings::shoot_ode_rel, BubbleProfiler::Shooting::solve(), and BubbleProfiler::Shooting_settings::y_max.