Configuration File
==================

The `config.yaml` file provides the configuration parameters for the pQCD module.

An example configuration file is shown below:


.. code-block:: yaml

    grid:
      muB_min: 1000.0
      muB_max: 2000.0
      muB_step: 10.0
      muQ_max: 0.0
      muQ_min: 0.0
      muQ_step: 5.0
      muS_max: 0.0
      muS_min: 0.0
      muS_step: 5.0
    options:
      alphaS: 0.0
      compute_susceptibilities: true
      filter_rows_with_nan: true
      running_coupling: true
      running_strange_mass: true
      strange_mass: 0.0
    physical_parameters:
      g_const: 18.0
      m_down: 0.0
      m_up: 0.0
      n_colors: 3
      n_flavors: 3
      n_gluons: 8
    renormalization_scale:
      muB_constant: 0.6666667
      muQ_constant: 0.3333333
      muS_constant: 0.0
    


Here we explain the available parameters in more detail:

**Grid**

- `muB_min`, `muB_max`, `muB_step`: Define the range and step size for the baryon chemical potential grid (in MeV).
- `muQ_min`, `muQ_max`, `muQ_step`: Define the range and step size for the quark chemical potential grid (in MeV).
- `muS_min`, `muS_max`, `muS_step`: Define the range and step size for the strange chemical potential grid (in MeV).

**Options**

- `alphaS`: Only used if `running_coupling` is set to false. It defines the fixed value of the strong coupling constant :math:`\alpha_s`.
- `compute_susceptibilities`: If true, the module will compute the susceptibilities in addition to the thermodynamic variables.
- `filter_rows_with_nan`: If true, the module will filter out any rows in the output that contain NaN values.
- `running_coupling`: If true, the module will compute the strong coupling constant :math:`\alpha_s` as a function of the renormalization scale.
- `running_strange_mass`: If true, the module will compute the strange quark mass as a function of the renormalization scale.
- `strange_mass`: Only used if `running_strange_mass` is set to false. It defines the fixed value of the strange quark mass (in MeV).

**Physical Parameters**

- `g_const`: The strong coupling constant at the renormalization scale (dimensionless).
- `m_down`: The down quark mass (in MeV).
- `m_up`: The up quark mass (in MeV).
- `n_colors`: The number of colors in QCD (dimensionless).
- `n_flavors`: The number of quark flavors (dimensionless).
- `n_gluons`: The number of gluons in QCD (dimensionless).

**Renormalization Scale**

- `muB_constant`, `muQ_constant`, `muS_constant`: Constants used to define the renormalization scale :math:`\Lambda` as a function of the chemical potentials. The renormalization scale is defined as:

.. math::

    \Lambda=\sqrt{(2\pi T)^2+((\mu_B \cdot \text{muB\_constant} + \mu_Q \cdot \text{muQ\_constant} + \mu_S \cdot \text{muS\_constant}))^2}.