closures in express js confusing

• i am new to js
• I thought closure as inner function as access to variables in outer function.
• but in the below code if separate function has access to another separate function will it form closure

function auth(name) {  
  return function (req, res, next) {
    if (req.isAuthenticated() && name && req.user.name === name) next();
    else if (req.isAuthenticated() && !name) next();
    else res.send(401);
  };
}

app.get('/example/a', auth(), function (req, res) {  
  res.send('Hello from A!');
});
app.get('/example/b', auth('Francis'), function (req, res) {  
  res.send('Hello from B!');
});

via texi rv